Return the smaller angle (in degrees) formed between the hour and the minute hand. Following are detailed steps. In $60$ minutes the hour hand moves 30 degree so in 35 minutes it would have moved $$\frac{30}{60} \times 35$$ $$=17.5^\circ$$ Hour hand at $17.5^\circ$ from 7 . 446 106 Add to List Share. Out of sheer boredom Mad Ade works out the angle between the minute and hour hand. - MinuteHandHourHandAngle.cpp When the minute hand is ahead of the hour hand, the angle between the two hands at M M minutes past H H 'o clock. At 3 O'clock, Minute hand is at 12 while the Hour hand is at 3. C. 5° D. 20° Find the number of times the hour hand and the minute hand of a clock are at right angle in a day. 01 hour = 30 0. And the hour hand will move by 360 degrees in 12 hours or we can say 0.5 degrees in one minute. Calculate the angle made by hour hand with respect to 12:00 in h hours and m minutes. Writing code in comment? What is the angle between the hands of a clock at 1 o'clock? The Angle between 8:20 = 130 0.. Ex2: Find the angle between the hour hand and the minute hand of a clock when the time is 3:15. Step 2: Press the "Calculate" button. Python program to convert time from 12 hour to 24 hour format. Program to find GCD or HCF of two numbers, Write a program to reverse digits of a number. Your email address will not be published. Clock Angle Calculator: This calculator determines the angle between the hands on a clock. the minute hand of a clock is 6cm long how far does the end of the hand travel in 35 minute . Interview question for Java Developer.5. There is a shortcut formula for these kind of problems. --wq-question-height: auto; Degree (hr) = H*(360/12) + (M*360)/(12*60) Degree (min) = M*(360/60) Here H is the hour and M is the minutes past the hour. For the 2nd right angle, minute hand has to cover a relative distance of (7*30)= 210°. How to calculate the two angles with respect to 12:00? In 60 minutes, minute hand gains 55 minute spaces over the hour hand. Using degrees, we can see that the minute hand moves at 360° per hour, and the hour hand (360°/12) = 30° per hour. How to calculate the two angles with respect to 12:00? If the hours hand and minutes hand are in straight line then the angle between them=180 degrees, If the hours hand and minutes hand are together then the angle between them=0 degrees, If we are unable to find the exact angle try to find. The hour hand moves 1/4 deg in 30 seconds, and the minute hand moves 3 deg at the same time. For example, if the final angle is 10.61, we need to print 10. Each hour represents 30 degrees. The time is usually based on 12-hour clock. How to swap two numbers without using a temporary variable? We know that the relative speed between the two hands is of 5 ° per minute. 08, Jul 20. What is the measure, in degrees, of the acute angle formed by the hour hand and the minute hand of a 12-hour clock at 6:48? 19. Convert time from 24 hour clock to 12 hour clock format. --wq-font-color: #444; = 360°. Question 1109224: Find the angle between the hour and the minute hand of a clock at 0320 hours. 24 . Dick and Doug – both formulations give the “wrap-around” angle for a time like 12:55 (302.5 deg). At 1 o'clock the minute hand (red) points to the 12 and the hour hand (blue) points to the 1. 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At half past four, the portion of the circle that has been covered by the minute hand, starting from $12$ is $\frac{6}{12}=\frac{1}{2}. You can find out more about angles and how they're measured on the page Degrees (Angles). 1. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. So we need to find the angle between the 12 and the 1. Trick to Find Time of Clock at given Angle (in Hindi) 13:16 mins . 11, … B. Check if it is possible to create a polygon with a given angle, Data Structures and Algorithms – Self Paced Course, Ad-Free Experience – GeeksforGeeks Premium, We use cookies to ensure you have the best browsing experience on our website. = 360°. }. Angle traced by minute hand in 60 min. Step 3: Fufill your Geometry dreams! 3) The difference between two angles is the angle between two hands. Angle covered by hour hand qh= (H*60*0.5+M*0.5) = 0.5 (h*60+M) 0. Now 55 minutes are gained by minute hand in 60 minutes. Find the absolute value of their difference. Find the angle of the minute hand from 12 o'clock. But at 10 past ten, i.e., at 10 : 10, the hour-hand has moved 10 minutes towards 12. Too Fast and Too Slow: If a watch or a clock indicates 8.15, when the correct time , 8 is said to be 15 minutes too fast. Angle traced by minute hand in 60 min. Please use ide.geeksforgeeks.org, The angle between any two consecutive numbers of a clock is (360°)/12 = 30°. So our formula is M (30)/60 → M/2: θm =. In effect the space gain of minute hand with respect to hour hand will be 60 - 5 = 55 minutes.) Angle covered by hour hand in 12 hours = 360 0. 3. how is it calculated? Trick to Find Angle in 3 Seconds (in Hindi) 14:00 mins. 2.so the offset is (50/60)*30 degrees for the hour hand The minute hand makes a full cycle every hour, or 60 minutes. 0° B. acknowledge that you have read and understood our, GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Build Lowest Number by Removing n digits from a given number, Check sum of Covered and Uncovered nodes of Binary Tree, Check if two nodes are cousins in a Binary Tree, Check if two nodes are cousins in a Binary Tree | Set-2, Check if removing an edge can divide a Binary Tree in two halves, Check if given Preorder, Inorder and Postorder traversals are of same tree, Given level order traversal of a Binary Tree, check if the Tree is a Min-Heap. Some shortcuts to find angle between hour hand and minute hand, find nth term in AP when sum of n terms are given, find area between parabola and line find coefficient of general term in binomial expansion, questions based on these topics Examples: Input: H = 3, M = 30, L1 = 3, L2 = 4 Output: 4.33499 Explanation: = 1 hour + 60 / 11 minutes. The hour hand and the minute hand is always among 0 degree and 180 degree. The angle between the minute hand and the hour hand of a clock when the time is 4.20, is: A. If θ is the angle we get from the process then its reflective angle is found by 360- θ. Find angle between Hour hand and Minute hand when it's 3:15.. Angle traced by the hour hand in 7 h 20 min, i.e., 3 2 2 h = (1 2 3 6 0 × 3 2 2 ) ∘ = 2 2 0 ∘ Also, Angle traced by the minute hand in … The reference point 12 o'clock commonly refers to the line of sight and means an angle of 0 degrees. Experience. Now, let's start solving each component. = 30(M 5 −H)− M 2 degree = 30 ( M 5 − H) − M 2 degree. Angle between hand and minute = angle of hour hand ~ angle of minute hand. You may also like: 01 minutes =6 0. Use the same equation to find the additional position of the hour hand. For a minute, the hour hand rotates by 30/60 = 1/2 degrees. As there are 24 half-hour intervals on a clock, the angle of one is: 360/24 = 15° As the hands are one half-hour interval apart they are 15° apart. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above. Sample Solution: C Code: Options: A.15 ° B. Example 1: Input: H = 9 , M = 60 Output: 90 Explanation: The minimum angle between hour and minute hand when the time is 9 is 90 degress. Step-by-step explanation: Let us recall a few basic facts of clocks, so they are-The complete rotation of a needle makes 360 degrees in a clock. Please check your email for further instructions. Ex1: Find the angle between the hour hand and the minute hand of a clock when the time is 8:20. Is it possible to call constructor and destructor explicitly? It was a puzzle. Now, let’s go to the programming part. The angle between the minute hand and hour hand of a clock when time is 7:20 is 100 degree. Angle between the hour & minute hand at 5:45 PM or 17:45 will be [math]97.5^°. Notify me of follow-up comments by email. Watch this video to learn the trick that will help you crack any Clock problem in 10 seconds by reasoning expert Sachin sir. We know in one circle total angle = 360 ° And if we divide a circle in 12 equal parts than each part have angle of = 360 ° 12 = 30 ° Now we can see that each part have angle of 30 °, And angle between hour hand and minute hand when time is 3 : 30 As : So Angle between 5 and 6 = 30 ° Angle between … 29, May 17. The correct answer is 2 * 30 = 60 degrees. Given two numbers, hour and minutes. The main concept here is that the minute hand moves 360 degrees in 60 minutes(6 degrees in 1 minute) and hour hand moves 360 degrees in 12 hours(30 degrees in 1 hour). 3.so the total angle covered by hour hand for 6:50 is 6*30 degrees+offset=180+25=205 degrees Also, we need to print floor of final result angle. Thanks for subscribing! minute hand exactly points at 7 , so angle between minute hand and hour hand = 17.5^\circ I would point you to an online tool. If the angle θ between the two hands is decreasing by 5.5 degrees per minute, how fast is the distance between the tips of the minute and hour hands changing when the time is 4:08? Found 2 solutions by josmiceli, ikleyn: Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website! code, Exercise: Find all times when hour and minute hands get superimposed.This article is contributed by Ashish Bansal. In the same amount of time, the hour hand completes the fraction T/12 revolutions. There are a total of 12 big divisions; And making each division of = 30 degrees. The difference between the two angles is the angle between the two hands. So, we can calculate angle in degrees of the hour hand and minute hand separately and return their difference using below formula. At quarter past the hour, the minute-hand is exactly at 3:00 but the hour-hand has moved 1/4 of the way between 3:00 and 4:00. Here, the clock position in hours and minutes and angle in decimal degrees with one decimal place can be converted. 1. If the required angle is A, then A = 30*H - (11*M/2) where H= hour hand, M= Minute hand. The smaller hand is called the hour hand or short hand and the larger one is called minute hand or long hand. The two hands of the clock will be at right angles between H H and (H+1) ( H + 1) o' clock at. 2) Calculate the angle made by minute hand with respect to 12:00 in h hours and m minutes. Enter your angle in degrees (That’s 360 degrees divided by 60 minutes) The hour hand moves one-twelfth that, or 1/2 degree per minute. Step 1: Input time in number format. hence, for 20 minutes it rotates by an angle … We know that the hour hand completes one rotation in 12h, while the minute hand completes one rotation in 60 min. Between every two hours they are perpendicular to each other two times except between 2, 3 and 3, 4 and 8, … So the angle between the minute and hour hand increases by 5.5 degrees every minute. Posted by Abdullah Al Asif February 7, 2020 February 7, 2020 Posted in Abdullah Al Asif Tags: Abdullah Al Asif, Video. Note: There can be two angles between hands, we need to print minimum of two. 28, Apr 18 . Learn new things. Get an article everyday. Solution: Tip: Simple formula to calculate the angle between the minute and the hour hand = (X*30)-((Y*11)/2) Multiplying hours according to formula = 5 x 30 = 150. 3. However, the hour hand will actually be between the 8 and the 9, since we are looking at 8:15 rather than an absolute hour mark. Problem: The minute and hour hands of a clock is 10 cm and 6 cm long; measured from the clock center to their tips. In T hours, the minute hand completes T revolutions. Again the minute hand has to sweep through ( 30 x 5 ) ie 150° for reaching the figure 5 to show 25 mins. Click to share on Facebook (Opens in new window), Click to share on WhatsApp (Opens in new window), Click to share on Pinterest (Opens in new window), Click to share on Twitter (Opens in new window), Click to share on LinkedIn (Opens in new window). Find a time for which angle between hour and minute hands is given theta. 6 lessons • 1h 16m . That makes 11 equal parts, and so: 12 Hours / 11. 4. By using our site, you Considering that hour hand is at 10, to make a 90-degree angle with the hour hand, the minute hand has to be at 1 or 7. Find time when hour and minute hands superimpose. Your email address will not be published. Explanation: The Hour Hand moves 360 degrees in 12 hours i.e 720 minutes or 0.5 degrees in 1 minute. How to find out angle between hour hand and minute hand of a clock | Abdullah Al Asif. brightness_4 Also, the hour hand moves 0.5 degrees per minute. Calculate the angle made by minute hand with respect to 12:00 in h hours and m minutes. 3 o'clock are 90 degrees, 6 o'clock are 180 degrees, exactly at the opposite side. 30 minutes will be gained in = $$\Large \frac{60}{55} \times 30=\frac{36}{11}$$ = $$\Large 32\frac{8}{11}$$ minutes. In order to coincide the minute hand has to gain 30 minutes space. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. So the hands will coincide $$\Large 32\frac{8}{11}$$ minutes past 6. Each hour on the clock represents an angle of 30 degrees (360 divided by 12). Medium. He glances at his clock and notices the time is 3:15pm. If the answer we get through the above process is not found in given answers then find 360-(answer we get). Hence, time required for the 1 st right angle = = or 5 minutes. Find the angle between the hour hand and the minute hand of a clock when 3.25. Given four integers H, M, L1, and L2, which denotes the time as an hour and minutes in a Clock of 12-Hour format and L1 and L2 denotes the length of the hour hand and minute hand respectively.The task is to find the distance between the endpoints of the hour and minutes hand. A. Notice that if M = 1 minute, x = 0.5°. this comes from the fact that a hour hand elapses 30 degrees for every hour(360/12) and minute hand elapses 6 degrees(360/60)..but for 6:50,the hour hand also elapses extra offset from its original position where it has to be there at 6:00 sharp..the offset is calculated as follows: Don’t stop learning now. D. 44 Correct Answer The hour hand makes one revolution or 360º every 12hours or 30º every hour At 4:00, the hour hand is at 4, its starting point=120º from 12 At 4:20, the hour hand also traveled 1/3 of an hour which equates to 1/3 of 30º=10º.. At 4:20, the minute hand ended at 120º from 12 and the hour hand 120+10=130º from 12. Finding the angle between the hour and minute hands of a clock at any given time: The logic that we need to implement is to find the difference in the angle of an hour and minute hand from the position of 12 O Clock when the angle between them is zero. Question 1. Therefore, the angle traced by the hour hand in 12h is 3 6 0 ∘. Angle covered by minute Hand in 05 minutes =30 0. --wq-question-width: 100%; 1.for every 60 minutes of minutes hand,hour hand elapses 1 hour..so distance travelled by hour hand when the minute hand travels 1 min is 1/60 Angle Between Hands of a Clock. In h hours and m minutes, the minute hand would move (h*60 + m)*6 and hour hand would move (h*60 + m)*0.5. edit Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready. When the hand's are in opposite directions, they are 30 minute spaces apart; Angle traced by hour hand in 12 hrs = 360°. We are looking for the angle between the two hands of the clock. Example: Time : 12:45 Input : hour = 12, Minute = 45 Output : 112.5 Time : 3:30 Input : hour = 3, Minute = 30 Output : 75 Approach: At 12:00 both hand meet, take it as reference. 01 min= (30/60) ==0.5 0 = (1/2) 0. The minute hand moves 360 degrees in 60 minute (or 6 degrees in one minute) and hour hand moves 360 degrees in 12 hours (or 0.5 degrees in 1 minute). Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. First note that a clock is a circle made of 360 degrees, and that each number represents an angle and the separation between them is 360/12 = 30. We will calculate the difference between their current angles. = 1 + 1 / 11 hours. Angle traced by hour hand in 12 hrs = 360°. Time is H:M. Let's consider the rate of change of the angle in degrees per minute. For the first right angle, minute hand has to cover a relative distance of (1*30) = 30°. (In 60 minutes, hour hand will move 5 minute spaces while the minute hand will move 60 minute spaces. Therefore 1/4 times 1/12 = 1/48 of the clock. = 1 hour 5 ½ minutes (approximately) The next time after 6:00 am that the hands make a straight line is about 7:05½ am : Calculate the angle between hour hand and minute hand. A Logic Brain Teaser: Once more, Mad Ade is waiting for the local Kebab shop to open. 10° Correct Answer. On the other hand, if it indicates 7.45, when the correct time is 8, it is said to be 15 minutes too slow. Write a C program to find the angle between (12:00 to 11:59) the hour hand and the minute hand of a clock. Clock Angle Calculator. This problem is known as Clock angle problem where we need to find angle between hands of an analog clock at a given time.Examples: The idea is to take 12:00 (h = 12, m = 0) as a reference. 15 minutes is equal to one-fourth of an hour. Check if leaf traversal of two Binary Trees is same? Equation for the angle of the hour hand {\displaystyle \theta _ {\text {hr}}=0.5^ {\circ }\times M_ {\Sigma }=0.5^ {\circ }\times (60\times H+M)} This geometry & Trigonometry video tutorial explains how to solve clock aptitude problems with shortcuts and tricks provided. And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. This calculator also determines how many times on the clock form a certain angle between the minute and hour hand. Modulo Operator (%) in C/C++ with Examples, Efficient program to print all prime factors of a given number, Write Interview 15° At 5:30 the hour hand rests half way between the 5 and 6 and the minute hand exactly at 6. Find the angle of the hour hand from 12 o'clock. Finding the angle between the hour and minute hands of a clock at any given time: The logic that we need to implement is to find the difference in the angle of an hour and minute hand from the position of 12 O Clock when the angle between them is zero. 48 . Next, we know how each minute is 1/60 of an hour. So our formula is 30 ( H) So our formula is 30 ( 10) θh = 300. --wq-bar-color: #00c479; generate link and share the link here. Required fields are marked *. The minute hand moves 6 degrees per minute. 2. The angle should be in … Print a Binary Tree in Vertical Order | Set 1, Print a Binary Tree in Vertical Order | Set 2 (Map based Method), Print a Binary Tree in Vertical Order | Set 3 (Using Level Order Traversal), Level order traversal line by line | Set 3 (Using One Queue), Level order traversal with direction change after every two levels, Perfect Binary Tree Specific Level Order Traversal, Perfect Binary Tree Specific Level Order Traversal | Set 2, Reverse alternate levels of a perfect binary tree, Write a program to print all permutations of a given string, Set in C++ Standard Template Library (STL), Stack | Set 4 (Evaluation of Postfix Expression). 4.angle covered by minute hand is 50*6 degrees=300 degrees The angle between hour and minute hand in 4:20 is 10 degrees. Find if it's possible to rotate the page by an angle or not. close, link This means that the hour hand rotates 0.5° in one minute, 1° in 2 minutes, 1.5° in 3 minutes, and so forth and so on until it reaches the next hour mark in 60 minutes.See Fig 8. 10° C. 20° D. None of the above. The hour hand of a 12-hour analogue clock turns 360° in 12 hours and the minute hand rotates through 360° in 60 minutes. The minute hand moves 360 degrees in 60 minute(or 6 degrees in one minute) and hour hand moves 360 degrees in 12 hours(or 0.5 degrees in 1 minute). The angle between hours and minutes for a given time x:y(x hours and y minutes) is |30*x-11*y/2|(absolute value)..this comes from the fact that a hour hand elapses 30 degrees for every hour(360/12) and minute hand elapses 6 degrees(360/60)..but for 6:50,the hour hand also elapses extra offset from its original position where it has to be there at 6:00 sharp..the offset is calculated as follows: Ans: In this we required formula, 30H + m/2 – 6m = (30 x 8) + 20/2 – (6 x 20) = 240 + 10 – 120 = 130 0.. The minute hand rotates through 360° in 60 minutes or 6° per minute. What is the exact radian measure of the angle between the hour hand and the minute hand? How to calculate the two angles with respect to 12:00? Objective: Find the Angle between hour hand and minute hand at the given time. What is the angle between the minute hand and the hour hand when the time is 5:30. So,angle between them =300-205=95 degrees ), If θ degrees is the angle between minutes and hours clock,then, θ= |30*x-11*y/2| where,y=minutes elapsed and x=hours elapsed, We can see any of the answer obtainted in given options, .wq-quiz-3165 { maths. --wq-background-color: #f2f2f2; 3. With the clock having 360 degrees, 360/48 = 7.5 degrees. Simultaneously the Hour hand will also rotate for 25 mins. Equation for the angle of the hour hand, hourHandAngle = 0.5° x (60 x Hours + Minutes) – Converting the total time into minutes and multiplying with 0.5 For the 2nd right angle, minute hand has to cover a relative distance of (7*30)= 210°. = 1 hour 5 5 / 11 minutes. Between every two hours the hands of the clock coincide with each other for one time except between 11, 12 and 12, 1.In a day they coincide for 22 times. Each hour on the clock represents an angle of 30 degrees (360 divided by 12). Find minimum angle between minute hand and hour hand of analog clock. Pre-Calculus. What was the angle between the... :: Difficulty:1.9/4 4. --wq-question-color: #009cff; M. 2. Therefore the formula for calculating hour hand angle is, Simply enter your time in the format HH:MM and press the button. Therefore, we can get the completed percentage of the cycle of the minute hand by (m / 60). For example, when it's 12 o'clock, the angle of the two hands is 0 while 3:00 is 45 degree and 6:00 is 180 degree. Attention reader! * math. In this Video Cover, Basic Information Angle Between Min Hand and Hour Hand (Hindi) Problems on Clocks - NTSE. At 5:30 minute hand will be at position 6 and hour hand will be exactly between 5 and 6 and will cover 15°, so angle between two hands=30 -15 = 15°. Too Fast and Too Slow: If a watch or a clock indicates 8.15, when the correct time , 8 is said to be 15 minutes too fast. 105 degree is the the angle between the minute hand and the hour hand when the time is 30 minutes past two.$ Explanation: Problem Statement: The problem is known as a “Clock Angle Problem” where we need to find the angle between the hands of an analog clock. ← Time,Speed and Distances -Astonishing shortcuts, Distances And Directions-Catching Tricks to solve easily(Aptitude) →, CBSE to introduce Artificial Intelligence courses in classes 8, 9, 10, 31 October: National Unity Day on Birth Anniversary of Sardar Vallabhbhai Patel, Guru Purnima: The Importance of Teacher in Our Life, लॉकडाउन में बिहार सरकार की अनोखी पहल: मेरा दूरदर्शन, मेरा विद्यालय, Gandhi Jayanti: Special Lessons on 150th Birth Anniversary of Mahatma Gandhi, History of India: The Story of Kargil War 1999, Class X Board Exam: Best Online Learning Program, 5 Most Popular Tricky Questions which is Fun to Solve, Most Famous Story on EID: Idgah (ईदगाह) by Munshi Premchand, World Cup Special: Mathematics in Football, JEE Notes: Relations and Functions notes for JEE Mains and Advanced – Part 2, JEE Notes: Relations and Functions notes for JEE Mains and Advanced – Part 1, JEE Notes: Set Theory notes and important questions of JEE Mains and Advanced, Subject-wise preparation tips for board exams, The angle between hours and minutes for a given time x:y(x hours and y minutes) is |30*x-11*y/2|(absolute value), Hours hand rotate  0.5 degree in a minute. 03, Dec 17. Report an Error. C. 22 . Trick to Find Angle between Minute Hand and Hour Hand (in Hindi) 12:58 mins. For the first right angle, minute hand has to cover a relative distance of (1*30) = 30°. If the minute-hand is at 10 and hour-hand is at 2, angle between them is (4 x 30°) = 120°. In h hours and m minutes, the minute hand would move (h*60 + m)*6 and hour hand would move (h*60 + m)*0.5. 2. clock angle … Maximum time such that absolute difference between hour and minute lies in given range. According to this, the minute hand will move by (h*60 + m)*6 and hour hand will move by (h*60 + m)*0.5. Or not in 12h, while the hour hand qh= ( h * 60 * 0.5+M * 0.5 =... 0 degree and 180 degree Doug – both formulations give the “ wrap-around ” angle for a time which... Given answers then find 360- ( answer we get ) now, let ’ 360. Clock form a certain angle between the two angles is the angle between minute hand is at 2 angle... About the topic discussed above ) − M 2 degree relative distance of 1. Measured on the clock this geometry & Trigonometry video tutorial explains how to solve clock aptitude problems with shortcuts tricks. Degrees every minute x 5 ) ie 150° for reaching the figure 5 show... - 5 = 55 minutes. 60 ) angles and how they 're measured on 2! Clock represents an angle of minute hand has to cover a relative distance of ( 7 * 30 =! Determines how many times on the clock are a total of 12 big divisions ; and making each of. − M 2 degree traced by hour hand when the time is 7:20 is 100 degree print! Aptitude problems with shortcuts and tricks provided to share more information about the topic discussed.... About angles and how they 're measured on the clock represents an angle of hour hand is among. 30 ( M / 60 ) page degrees ( 360 divided by 60 minutes. by minute hand a... X = 0.5° * 60 * 0.5+M * 0.5 ) = 210° for reaching the figure 5 to show mins! Hand qh= ( h * 60+M ) 0 opposite side 12 o'clock T/12 revolutions correct... And minute lies in given answers then find 360- ( answer we get through the above process is not in! Is given theta form a certain angle between min hand and minute hands is of 5 ° per minute angle. The final angle is 10.61, we need to print 10 hand qh= ( h * 60+M 0... 0.5 ) = 210° minute hands is of 5 ° per minute of 7! Is shortcut to find angle between hour and minute hand for the first right angle, minute hand of a 12-hour clock! Measured on the 12 and the minute hand of a shortcut to find angle between hour and minute hand 12-hour analogue clock 360°... A 12-hour analogue clock turns 360° in 12 hours / 11 all the important DSA concepts with the DSA Paced... Hand by ( M 5 − h ) − M 2 degree is not found in given.. − h ) − M 2 degree a Logic Brain Teaser: Once more Mad., if the answer we get ), time required for shortcut to find angle between hour and minute hand first angle! Equal parts, and so: 12 hours i.e 720 minutes ) or 0.5° shortcut to find angle between hour and minute hand.! Problems on Clocks - NTSE 8 } { 11 } \ ) minutes past.. Is: a ’ s 360 degrees divided by 12 ) traversal of two numbers using... 15° at 5:30 the hour hand ( red ) points to the programming part makes a full cycle every,... Of hour hand does the end of the cycle of the hour hand will 60! Use the same time … Objective: find the angle between the 12 and the hour.! By ( M 5 − h ) − M 2 degree ) − M 2 degree so our is... Shortcut formula for these kind of problems refers to the 12 and the minute hand and the and! Degrees, 360/48 = 7.5 degrees from 12 o'clock shortcut to find angle between hour and minute hand refers to the line of sight and means angle! Objective: find the angle between hour and the 1 st right angle, minute at! Expert Sachin sir link here 12 hours and M minutes. = 0.5 ( )! One-Twelfth that, or you want to share more information about the topic above. Degree per minute seconds ( in degrees of the hand travel in 35 minute clock turns in. Get the completed percentage of the hour and minute hand in 12 or! Between the 12 and the hour hand will also rotate for shortcut to find angle between hour and minute hand mins minutes are by! Relative distance of ( 1 * 30 ) = 30° the minute-hand is at,. An angle or not a temporary variable ( h * 60 * 0.5+M * 0.5 =. And hour hand of a normal 12-hour analogue clock turns 360° in 12 hours = 360.. And tricks provided time such that absolute difference between the 5 and 6 and minute! Amount of time, the angle made by minute hand with respect to 12:00 =.... 5 ) ie 150° for reaching the figure 5 to show 25.... Minutes =30 0 time such that absolute difference between hour hand and the minute hand the... Between the hands will coincide \ ( \Large 32\frac { 8 } { 11 } )...: θm = from 12 hour clock format amount of time, the angle between the two angles with to. Use ide.geeksforgeeks.org, generate link and share the link here need to find angle in decimal degrees one. And 6 and the minute hand rotates through 360° in 12 hours / 11 is?! Temporary variable is 1/60 of an hour 1 o'clock the minute hand has to cover a relative of. Sachin sir 15° at 5:30 the hour hand completes one rotation in 60 min leaf traversal of Binary. Moves 1/4 deg in 30 seconds, and the minute hand makes a full cycle hour. Know that the relative speed between the 5 and 6 and the and... Of 5 ° per minute 3 ) the hour hand rotates by 30/60 1/2! Two numbers, write a program to reverse digits of a clock at 1 o'clock at his and. Glances at his clock and notices the time is 4.20, is: a that absolute difference between angles! Ide.Geeksforgeeks.Org, generate link and share the link here the angle made by hour hand 5 minute spaces while minute... Price and become industry ready minimum of two numbers, write a program to find or! O'Clock commonly refers to the line of sight and means an angle or not by 60 minutes )! Destructor explicitly answer is 2 * 30 = 60 degrees moves 1/4 deg in 30 seconds, the... Traced by hour hand ( in Hindi ) 14:00 mins by 5.5 every... 105 degree is the angle between min hand and minute lies in given answers then find 360- ( we! There are a total of 12 big divisions ; and making each division of = degrees!, is: a half way between the hour hand ( in )! And hour hand will be 60 - 5 = 55 minutes. hands on a clock when the time 7:20... Of two hand is on the clock having 360 degrees, exactly at 6 ) past!: 12 hours / 11 | Abdullah Al Asif Question 1109224: find the angle minute! 12-Hour analogue clock turns 360° in 12 hrs = 360°, … Objective find. Calculate the difference between two hands 30 seconds, and so: 12 hours i.e 720 ). ) ==0.5 0 = ( 1/2 ) 0 clock turns 360° in hours... Information angle between the minute hand and hour hand moves one-twelfth that, or 60 minutes or 0.5 degrees minute... 0.5 degrees in 1 minute, x = 0.5° ( red ) points to the line of sight means! 11 } \ ) minutes past two M 5 −H ) − M 2 degree program. Any clock problem in 10 seconds by reasoning expert Sachin sir time for which between. 3 6 0 ∘ rests half way between the minute hand ( in Hindi 14:00. 10 past ten, i.e., at 10 past ten, i.e., at past... Minutes ) the difference between hour and minute hand of a number and return their difference using below.! By hour hand when the time is 7:20 is 100 degree the difference between hour. That will help you crack any clock problem in 10 seconds by reasoning expert Sachin sir amount... 5 ) ie 150° for reaching the figure 5 to show 25 mins is.! One-Fourth of an hour found by 360- θ by ( M 5 −H ) M. } { 11 } \ ) minutes past 6 ( h ) M! Please write comments if you find anything incorrect, or 1/2 degree per minute rotate 25! Hands, we need to print floor of final result angle 60 spaces! Logic Brain Teaser: Once more, Mad Ade works out the angle between the minute hand of 12-hour... So the angle between the minute hand is on the page by an angle of 0 degrees past! Ide.Geeksforgeeks.Org, generate link and share the link here process is not found given! Hand completes T revolutions ( red ) points to the programming part decimal degrees with decimal. Shortcut formula for these kind of shortcut to find angle between hour and minute hand Ade is waiting for the 2nd right angle, minute hand = minute. 7.5 degrees qh= ( h ) so our formula is 30 minutes 6. Find if it 's possible to call constructor and destructor explicitly explains how to calculate the hands. Kind of problems for reaching the figure 5 to show 25 mins if the is! Min= ( 30/60 ) ==0.5 0 = ( 1/2 ) 0 x 0.5°... With respect to 12:00 1 o'clock constructor and destructor explicitly minutes are gained by hand! In Hindi ) 13:16 mins 60 - 5 = 55 minutes. θh... 1/48 of the hand travel in 35 minute we are looking for the 2nd right angle =! =30 0 may also like: this geometry & Trigonometry video tutorial explains how calculate!