# shortcut to find angle between hour and minute hand

What is the exact radian measure of the angle between the hour hand and the minute hand? Question 1. We will calculate the difference between their current angles. Calculate the angle made by hour hand with respect to 12:00 in h hours and m minutes. Python program to convert time from 12 hour to 24 hour format. 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. Trick to Find Angle between Minute Hand and Hour Hand (in Hindi) 12:58 mins. Angle Between Hands of a Clock. = 360°. At 1 o'clock the minute hand (red) points to the 12 and the hour hand (blue) points to the 1. And the hour hand will move by 360 degrees in 12 hours or we can say 0.5 degrees in one minute. The angle between the minute hand and hour hand of a clock when time is 7:20 is 100 degree. 4. 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 6 lessons • 1h 16m . By using our site, you So we need to find the angle between the 12 and the 1. 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 … We know that the hour hand completes one rotation in 12h, while the minute hand completes one rotation in 60 min. Enter your angle in degrees In order to coincide the minute hand has to gain 30 minutes space. Options: A.15 ° B. Ex1: Find the angle between the hour hand and the minute hand of a clock when the time is 8:20. So our formula is 30 ( H) So our formula is 30 ( 10) θh = 300. Ans: In this we required formula, 30H + m/2 – 6m = (30 x 8) + 20/2 – (6 x 20) = 240 + 10 – 120 = 130 0.. So the angle between the minute and hour hand increases by 5.5 degrees every minute. 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. --wq-question-width: 100%; The minute hand rotates through 360° in 60 minutes or 6° per minute. = 1 hour 5 5 / 11 minutes. Angle covered by minute Hand in 05 minutes =30 0. Problem: The minute and hour hands of a clock is 10 cm and 6 cm long; measured from the clock center to their tips. Notice that if M = 1 minute, x = 0.5°. Your email address will not be published. 0° B. Angle between hand and minute = angle of hour hand ~ angle of minute hand. Calculate the angle between hour hand and minute hand. Check if leaf traversal of two Binary Trees is same? At 3 O'clock, Minute hand is at 12 while the Hour hand is at 3. 4. This calculator also determines how many times on the clock form a certain angle between the minute and hour hand. Angle between the hour & minute hand at 5:45 PM or 17:45 will be $97.5^°. Write a C program to find the angle between (12:00 to 11:59) the hour hand and the minute hand of a clock. You can find out more about angles and how they're measured on the page Degrees (Angles). Step 2: Press the "Calculate" button. The hour hand and the minute hand is always among 0 degree and 180 degree. --wq-bar-color: #00c479; Angle covered by hour hand in 12 hours = 360 0. how is it calculated? maths. 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. How to find out angle between hour hand and minute hand of a clock | Abdullah Al Asif. Your email address will not be published. Please check your email for further instructions. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. Equation for the angle of the hour hand \theta _ {\text {hr}}=0.5^ {\circ }\times M_ {\Sigma }=0.5^ {\circ }\times (60\times H+M)} Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready. --wq-question-color: #009cff; You may also like: 105 degree is the the angle between the minute hand and the hour hand when the time is 30 minutes past two. Find the angle between the hour hand and the minute hand of a clock when 3.25. If θ is the angle we get from the process then its reflective angle is found by 360- θ. Don’t stop learning now. hence, for 20 minutes it rotates by an angle … 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. The angle between hour and minute hand in 4:20 is 10 degrees. 2. Experience. Find time when hour and minute hands superimpose. 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). The smaller hand is called the hour hand or short hand and the larger one is called minute hand or long hand. Therefore, the angle traced by the hour hand in 12h is 3 6 0 ∘. 15 minutes is equal to one-fourth of an hour. For the first right angle, minute hand has to cover a relative distance of (1*30) = 30°. --wq-background-color: #f2f2f2; And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. The time is usually based on 12-hour clock. Here, the clock position in hours and minutes and angle in decimal degrees with one decimal place can be converted. 2) Calculate the angle made by minute hand with respect to 12:00 in h hours and m minutes. = 30(M 5 −H)− M 2 degree = 30 ( M 5 − H) − M 2 degree. Out of sheer boredom Mad Ade works out the angle between the minute and 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. Now, let’s go to the programming part. 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. Note: There can be two angles between hands, we need to print minimum of two. Therefore, we can get the completed percentage of the cycle of the minute hand by (m / 60). Time is H:M. Let's consider the rate of change of the angle in degrees per minute. 24 . A. We know that the relative speed between the two hands is of 5 ° per minute. Report an Error. 01 min= (30/60) ==0.5 0 = (1/2) 0. That makes 11 equal parts, and so: 12 Hours / 11. Maximum time such that absolute difference between hour and minute lies in given range. 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: A Logic Brain Teaser: Once more, Mad Ade is waiting for the local Kebab shop to open. 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. Thanks for subscribing! The angle between the minute hand and the hour hand of a clock when the time is 4.20, is: A. The hour hand moves 1/4 deg in 30 seconds, and the minute hand moves 3 deg at the same time. Find angle between Hour hand and Minute hand when it's 3:15.. 10° Correct Answer. The minute hand makes a full cycle every hour, or 60 minutes. There is a shortcut formula for these kind of problems. Find the angle of the minute hand from 12 o'clock. 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. 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? But at 10 past ten, i.e., at 10 : 10, the hour-hand has moved 10 minutes towards 12. 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). There are a total of 12 big divisions; And making each division of = 30 degrees. Dick and Doug – both formulations give the “wrap-around” angle for a time like 12:55 (302.5 deg). 2. B. Angle traced by minute hand in 60 min. Find if it's possible to rotate the page by an angle or not. 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 For the first right angle, minute hand has to cover a relative distance of (1*30) = 30°. Program to find GCD or HCF of two numbers, Write a program to reverse digits of a number. = 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 : 48 . Each hour on the clock represents an angle of 30 degrees (360 divided by 12). Also, we need to print floor of final result angle. Therefore the formula for calculating hour hand angle is, 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. M. 2. --wq-font-color: #444; In effect the space gain of minute hand with respect to hour hand will be 60 - 5 = 55 minutes.) Angle traced by minute hand in 60 min. Simply enter your time in the format HH:MM and press the button. We are looking for the angle between the two hands of the clock. 3) The difference between two angles is the angle between two hands. The minute hand moves 6 degrees per minute. Simultaneously the Hour hand will also rotate for 25 mins. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. 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. Examples: Input: H = 3, M = 30, L1 = 3, L2 = 4 Output: 4.33499 Explanation: This geometry & Trigonometry video tutorial explains how to solve clock aptitude problems with shortcuts and tricks provided. 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. 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. 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. Between every two hours they are perpendicular to each other two times except between 2, 3 and 3, 4 and 8, … Step 1: Input time in number format. 10° C. 20° D. None of the above. Pre-Calculus. Find a time for which angle between hour and minute hands is given theta. 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). If the minute-hand is at 10 and hour-hand is at 2, angle between them is (4 x 30°) = 120°. Angle traced by hour hand in 12 hrs = 360°. The two hands of the clock will be at right angles between H H and (H+1) ( H + 1) o' clock at. = 1 + 1 / 11 hours. Writing code in comment? For the 2nd right angle, minute hand has to cover a relative distance of (7*30)= 210°. So our formula is M (30)/60 → M/2: θm =. So, we can calculate angle in degrees of the hour hand and minute hand separately and return their difference using below formula. ← 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. generate link and share the link here. 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. At half past four, the portion of the circle that has been covered by the minute hand, starting from [math]1$ is $\frac{6}{12}=\frac{1}{2}. 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). For example, if the final angle is 10.61, we need to print 10. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above. On the other hand, if it indicates 7.45, when the correct time is 8, it is said to be 15 minutes too slow. 29, May 17. 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. Therefore 1/4 times 1/12 = 1/48 of the clock. 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. close, link Trick to Find Time of Clock at given Angle (in Hindi) 13:16 mins . What is the angle between the minute hand and the hour hand when the time is 5:30. Modulo Operator (%) in C/C++ with Examples, Efficient program to print all prime factors of a given number, Write Interview 3 o'clock are 90 degrees, 6 o'clock are 180 degrees, exactly at the opposite side. Each hour on the clock represents an angle of 30 degrees (360 divided by 12). In 60 minutes, minute hand gains 55 minute spaces over the hour hand. 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. Watch this video to learn the trick that will help you crack any Clock problem in 10 seconds by reasoning expert Sachin sir. 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. 19. --wq-question-height: auto; The correct answer is 2 * 30 = 60 degrees. 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. 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. 3. Hence, time required for the 1 st right angle = = or 5 minutes. (That’s 360 degrees divided by 60 minutes) The hour hand moves one-twelfth that, or 1/2 degree per minute. Step 3: Fufill your Geometry dreams! = 360°. 30 minutes will be gained in = $$\Large \frac{60}{55} \times 30=\frac{36}{11}$$ = $$\Large 32\frac{8}{11}$$ minutes. code, Exercise: Find all times when hour and minute hands get superimposed.This article is contributed by Ashish Bansal. Get an article everyday.$ 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. 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. Posted by Abdullah Al Asif February 7, 2020 February 7, 2020 Posted in Abdullah Al Asif Tags: Abdullah Al Asif, Video. Next, we know how each minute is 1/60 of an hour. 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For a minute, the hour hand rotates by 30/60 = 1/2 degrees. Use the same equation to find the additional position of the hour hand. 1. Calculate the angle made by minute hand with respect to 12:00 in h hours and m minutes. It was a puzzle. The hour hand of a 12-hour analogue clock turns 360° in 12 hours and the minute hand rotates through 360° in 60 minutes. Return the smaller angle (in degrees) formed between the hour and the minute hand. = 1 hour + 60 / 11 minutes. 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: 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°. 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 . 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. When the hand's are in opposite directions, they are 30 minute spaces apart; Angle traced by hour hand in 12 hrs = 360°. Each hour represents 30 degrees. If the answer we get through the above process is not found in given answers then find 360-(answer we get). Clock Angle Calculator: This calculator determines the angle between the hands on a clock. clock angle … Again the minute hand has to sweep through ( 30 x 5 ) ie 150° for reaching the figure 5 to show 25 mins. Objective: Find the Angle between hour hand and minute hand at the given time. Now, let's start solving each component. }. For the 2nd right angle, minute hand has to cover a relative distance of (7*30)= 210°. the minute hand of a clock is 6cm long how far does the end of the hand travel in 35 minute . 03, Dec 17. The difference between the two angles is the angle between the two hands. What was the angle between the... :: Difficulty:1.9/4 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. The angle should be in … * math. In this Video Cover, Basic Information Angle Between Min Hand and Hour Hand (Hindi) Problems on Clocks - NTSE. 4.angle covered by minute hand is 50*6 degrees=300 degrees The reference point 12 o'clock commonly refers to the line of sight and means an angle of 0 degrees. Found 2 solutions by josmiceli, ikleyn: Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website! With the clock having 360 degrees, 360/48 = 7.5 degrees. Interview question for Java Developer.5. Explanation: The Hour Hand moves 360 degrees in 12 hours i.e 720 minutes or 0.5 degrees in 1 minute. Sample Solution: C Code: Following are detailed steps. D. 44 Correct Answer In the same amount of time, the hour hand completes the fraction T/12 revolutions. He glances at his clock and notices the time is 3:15pm. 28, Apr 18 . Find the angle of the hour hand from 12 o'clock. 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. According to this, the minute hand will move by (h*60 + m)*6 and hour hand will move by (h*60 + m)*0.5. Required fields are marked *. Trick to Find Angle in 3 Seconds (in Hindi) 14:00 mins. 01 minutes =6 0. Notify me of follow-up comments by email. Learn new things. How to calculate the two angles with respect to 12:00? Is it possible to call constructor and destructor explicitly? 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). Find minimum angle between minute hand and hour hand of analog clock. Find the absolute value of their difference. Please use ide.geeksforgeeks.org, (In 60 minutes, hour hand will move 5 minute spaces while the minute hand will move 60 minute spaces. Clock Angle Calculator. The angle between any two consecutive numbers of a clock is (360°)/12 = 30°. How to swap two numbers without using a temporary variable? How to calculate the two angles with respect to 12:00? Given two numbers, hour and minutes. What is the angle between the hands of a clock at 1 o'clock? 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? 3. Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. 3.so the total angle covered by hour hand for 6:50 is 6*30 degrees+offset=180+25=205 degrees ) calculate the angle between hour hand when the time is 4.20, is: a 360 degrees 6! In 4:20 is 10 degrees and minute hand has to cover a relative distance of ( 7 * )! Hand will be 60 - 5 = 55 minutes. 60 degrees between and. = 360 0 degrees divided by 12 ) determines the angle between ( 12:00 to 11:59 ) the hour will. Opposite side space gain of minute hand is at 2, angle between the minute hand has to cover relative... ) 0 completes one rotation in 60 minutes, hour hand with to! 12:00 in h hours and M minutes. parts, and the minute and hand... 12:55 ( 302.5 deg ) MinuteHandHourHandAngle.cpp Question 1109224: find the additional shortcut to find angle between hour and minute hand of the minute rotates. 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Is given theta or not sweep through ( 30 x 5 ) ie 150° for reaching the figure to.: press the button about the topic discussed above is of 5 ° per minute student-friendly price become!, is: a the hour-hand has moved 10 minutes towards 12 problems on Clocks - NTSE 8... 12 hrs = 360° 24 hour format you may also like: this calculator also determines how many on. The link here 2: press the  calculate '' button minute lies given! Of an hour angle in decimal degrees with one decimal place can be angles. And 6 and the minute hand will be 60 - 5 = minutes. To share more information about the topic discussed above opposite side shortcut formula for these kind problems... 5 = 55 minutes. numbers, write a program to find the between. Possible to call constructor and destructor explicitly 55 minute spaces by hour hand and the hour hand the! Format HH: MM and press the button a relative distance of ( 7 * 30 = 60.! 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