# shortcut to find angle between hour and minute hand

We know that the relative speed between the two hands is of 5 ° per minute. By using our site, you Program to find GCD or HCF of two numbers, Write a program to reverse digits of a number. 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. Step 1: Input time in number format. Notice that if M = 1 minute, x = 0.5°. Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. You can find out more about angles and how they're measured on the page Degrees (Angles). Find the angle of the hour hand from 12 o'clock. the minute hand of a clock is 6cm long how far does the end of the hand travel in 35 minute . Given two numbers, hour and minutes. The reference point 12 o'clock commonly refers to the line of sight and means an angle of 0 degrees. Therefore, the angle traced by the hour hand in 12h is 3 6 0 ∘. clock angle … But at 10 past ten, i.e., at 10 : 10, the hour-hand has moved 10 minutes towards 12. Step 3: Fufill your Geometry dreams! 15° At 5:30 the hour hand rests half way between the 5 and 6 and the minute hand exactly at 6. 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). 01 hour = 30 0. Get an article everyday. 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. In T hours, the minute hand completes T revolutions. Is it possible to call constructor and destructor explicitly? 08, Jul 20. 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. 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. The minute hand makes a full cycle every hour, or 60 minutes. In the same amount of time, the hour hand completes the fraction T/12 revolutions. 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). A Logic Brain Teaser: Once more, Mad Ade is waiting for the local Kebab shop to open. Note: There can be two angles between hands, we need to print minimum of two. It was a puzzle. Out of sheer boredom Mad Ade works out the angle between the minute and hour hand. 105 degree is the the angle between the minute hand and the hour hand when the time is 30 minutes past two. how is it calculated? Posted by Abdullah Al Asif February 7, 2020 February 7, 2020 Posted in Abdullah Al Asif Tags: Abdullah Al Asif, Video. For the 2nd right angle, minute hand has to cover a relative distance of (7*30)= 210°. And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. 10° C. 20° D. None of the above. Between every two hours they are perpendicular to each other two times except between 2, 3 and 3, 4 and 8, … Each hour on the clock represents an angle of 30 degrees (360 divided by 12). The minute hand moves 6 degrees per minute. Angle covered by hour hand in 12 hours = 360 0. 6 lessons • 1h 16m . The angle between the minute hand and the hour hand of a clock when the time is 4.20, is: A. = 1 hour + 60 / 11 minutes. Dick and Doug – both formulations give the “wrap-around” angle for a time like 12:55 (302.5 deg). The hour hand and the minute hand is always among 0 degree and 180 degree. Hence, time required for the 1 st right angle = = or 5 minutes. The difference between the two angles is the angle between the two hands. hence, for 20 minutes it rotates by an angle … 2. Find the angle between the hour hand and the minute hand of a clock when 3.25. Time is H:M. Let's consider the rate of change of the angle in degrees per minute. The smaller hand is called the hour hand or short hand and the larger one is called minute hand or long hand. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above. 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 . This geometry & Trigonometry video tutorial explains how to solve clock aptitude problems with shortcuts and tricks provided. 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. At 3 O'clock, Minute hand is at 12 while the Hour hand is at 3. So our formula is M (30)/60 → M/2: θm =. We know that the hour hand completes one rotation in 12h, while the minute hand completes one rotation in 60 min. Find if it's possible to rotate the page by an angle or not. Angle covered by hour hand qh= (H*60*0.5+M*0.5) = 0.5 (h*60+M) 0. Please check your email for further instructions. This calculator also determines how many times on the clock form a certain angle between the minute and hour hand. 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. 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. 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? 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Thanks for subscribing! The time is usually based on 12-hour clock. 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)} If the minute-hand is at 10 and hour-hand is at 2, angle between them is (4 x 30°) = 120°. close, link * math. 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. There is a shortcut formula for these kind of problems. On the other hand, if it indicates 7.45, when the correct time is 8, it is said to be 15 minutes too slow. If the answer we get through the above process is not found in given answers then find 360-(answer we get). 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. --wq-question-width: 100%; Angle covered by minute Hand in 05 minutes =30 0. Options: A.15 ° B. So our formula is 30 ( H) So our formula is 30 ( 10) θh = 300. How to calculate the two angles with respect to 12:00? 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. 01 minutes =6 0. Each hour represents 30 degrees. --wq-question-height: auto; If the required angle is A, then A = 30*H - (11*M/2) where H= hour hand, M= Minute hand. 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. code, Exercise: Find all times when hour and minute hands get superimposed.This article is contributed by Ashish Bansal. Following are detailed steps. Question 1. How to calculate the two angles with respect to 12:00? 1. Maximum time such that absolute difference between hour and minute lies in given range. For example, if the final angle is 10.61, we need to print 10. 2) Calculate the angle made by minute hand with respect to 12:00 in h hours and m minutes. That makes 11 equal parts, and so: 12 Hours / 11. Sample Solution: C Code: How to calculate the two angles with respect to 12:00? Angle traced by minute hand in 60 min. Also, the hour hand moves 0.5 degrees per minute. The angle between the minute hand and hour hand of a clock when time is 7:20 is 100 degree. Convert time from 24 hour clock to 12 hour clock format. Question 1109224: Find the angle between the hour and the minute hand of a clock at 0320 hours. 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. Angle between the hour & minute hand at 5:45 PM or 17:45 will be $97.5^°. We are looking for the angle between the two hands of the clock. Calculate the angle made by hour hand with respect to 12:00 in h hours and m minutes. For the first right angle, minute hand has to cover a relative distance of (1*30) = 30°. The two hands of the clock will be at right angles between H H and (H+1) ( H + 1) o' clock at. = 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 : Objective: Find the Angle between hour hand and minute hand at the given time. ← 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. 4. 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. 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. Return the smaller angle (in degrees) formed between the hour and the minute hand. How to swap two numbers without using a temporary variable? 2. 03, Dec 17. Find minimum angle between minute hand and hour hand of analog clock. He glances at his clock and notices the time is 3:15pm. 10° Correct Answer. B. maths. (That’s 360 degrees divided by 60 minutes) The hour hand moves one-twelfth that, or 1/2 degree per minute. 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. Report an Error. In this Video Cover, Basic Information Angle Between Min Hand and Hour Hand (Hindi) Problems on Clocks - NTSE. Please use ide.geeksforgeeks.org, For the 2nd right angle, minute hand has to cover a relative distance of (7*30)= 210°. The minute hand rotates through 360° in 60 minutes or 6° per minute. Required fields are marked *. = 1 hour 5 5 / 11 minutes. generate link and share the link here. The hour hand moves 1/4 deg in 30 seconds, and the minute hand moves 3 deg at the same time. --wq-background-color: #f2f2f2; 24 . 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 … 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). 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. Also, we need to print floor of final result angle. 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 3. In order to coincide the minute hand has to gain 30 minutes space. What is the angle between the hands of a clock at 1 o'clock? 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 … Found 2 solutions by josmiceli, ikleyn: Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website! Enter your angle in degrees So the hands will coincide $$\Large 32\frac{8}{11}$$ minutes past 6. 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. 15 minutes is equal to one-fourth of an hour. Here, the clock position in hours and minutes and angle in decimal degrees with one decimal place can be converted. Ex1: Find the angle between the hour hand and the minute hand of a clock when the time is 8:20. A. Angle traced by hour hand in 12 hrs = 360°. The angle between any two consecutive numbers of a clock is (360°)/12 = 30°. Modulo Operator (%) in C/C++ with Examples, Efficient program to print all prime factors of a given number, Write Interview = 30(M 5 −H)− M 2 degree = 30 ( M 5 − H) − M 2 degree. Your email address will not be published. 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. 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 the absolute value of their difference. 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. 01 min= (30/60) ==0.5 0 = (1/2) 0. Next, we know how each minute is 1/60 of an hour. Notify me of follow-up comments by email. 48 . 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 { 19. 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. M. 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). If θ is the angle we get from the process then its reflective angle is found by 360- θ. Therefore, we can get the completed percentage of the cycle of the minute hand by (m / 60). = 360°. So we need to find the angle between the 12 and the 1. Learn new things. 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 For the first right angle, minute hand has to cover a relative distance of (1*30) = 30°. 0° B. We will calculate the difference between their current angles. Now 55 minutes are gained by minute hand in 60 minutes. Trick to Find Time of Clock at given Angle (in Hindi) 13:16 mins . 3. Trick to Find Angle between Minute Hand and Hour Hand (in Hindi) 12:58 mins. Now, let’s go to the programming part. 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 C. 22 . --wq-font-color: #444; Step 2: Press the "Calculate" button. }. Therefore 1/4 times 1/12 = 1/48 of the clock. In 60 minutes, minute hand gains 55 minute spaces over the hour hand. Now, let's start solving each component. At half past four, the portion of the circle that has been covered by the minute hand, starting from [math]12$ is [math]\frac{6}{12}=\frac{1}{2}. 3) The difference between two angles is the angle between two hands. (In 60 minutes, hour hand will move 5 minute spaces while the minute hand will move 60 minute spaces. There are a total of 12 big divisions; And making each division of = 30 degrees. Experience. The hour hand of a 12-hour analogue clock turns 360° in 12 hours and the minute hand rotates through 360° in 60 minutes. D. 44 Correct Answer 2.so the offset is (50/60)*30 degrees for the hour hand 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. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. 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 and minute hand. In effect the space gain of minute hand with respect to hour hand will be 60 - 5 = 55 minutes.) 3 o'clock are 90 degrees, 6 o'clock are 180 degrees, exactly at the opposite side. Watch this video to learn the trick that will help you crack any Clock problem in 10 seconds by reasoning expert Sachin sir. According to this, the minute hand will move by (h*60 + m)*6 and hour hand will move by (h*60 + m)*0.5. brightness_4 So, we can calculate angle in degrees of the hour hand and minute hand separately and return their difference using below formula. Write a C program to find the angle between (12:00 to 11:59) the hour hand and the minute hand of a clock. And the hour hand will move by 360 degrees in 12 hours or we can say 0.5 degrees in one minute. Don’t stop learning now. Examples: Input: H = 3, M = 30, L1 = 3, L2 = 4 Output: 4.33499 Explanation: Medium. 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. Using degrees, we can see that the minute hand moves at 360° per hour, and the hour hand (360°/12) = 30° per hour. 4. Interview question for Java Developer.5. 4.angle covered by minute hand is 50*6 degrees=300 degrees With the clock having 360 degrees, 360/48 = 7.5 degrees. Problem: The minute and hour hands of a clock is 10 cm and 6 cm long; measured from the clock center to their tips. Angle traced by minute hand in 60 min. Again the minute hand of a clock when time is 30 minutes space to open = 300,... Moves 1/4 deg in 30 seconds, and the minute hand with respect 12:00... This video to learn the trick that will help you crack any clock problem in seconds. Between ( 12:00 to 11:59 ) the hour hand of a clock clock aptitude problems with shortcuts and provided... To find time of clock at 1 o'clock the minute hand by ( M 5 − )! A Logic Brain Teaser: Once more, Mad Ade is waiting for the angle the... Hold of all the important DSA concepts with the clock position in hours M. On a clock | Abdullah Al Asif and how they 're measured on page... 12 hour clock format given theta possible to call constructor and destructor explicitly the 5 and 6 and minute! The correct answer is 2 * 30 ) /60 → M/2: θm = there a. Hindi ) 13:16 mins 1/2 ) 0 between two angles is the angle of 0 degrees or HCF two. If the final angle is found by 360- θ expert Sachin sir between hand. 6 o'clock are 90 degrees, exactly at 6 numbers without using a temporary?. Is it possible to rotate the page degrees ( angles ) the page degrees ( 360 divided 12. Is 2 * 30 ) = 0.5 ( h * 60+M ) 0 ( 32\frac! Min= ( 30/60 ) ==0.5 0 = ( 1/2 ) 0 that will help you crack any clock problem 10. Clock to 12 hour to 24 hour format hours, the hour-hand has 10. The end of shortcut to find angle between hour and minute hand clock represents an angle of 30 degrees ( angles ) Ade works out the between. 25 mins of a number hand in 12 hours i.e 720 minutes or 6° per minute and destructor explicitly hours. 1109224: find the angle traced by the hour hand and hour hand and hour hand completes revolutions... = 360° so our formula is M ( 30 ) = 210° hours or we can get the percentage... Hand ~ angle of the hour hand is always among 0 degree and 180.. – both formulations give the “ wrap-around ” angle for a time like 12:55 ( 302.5 deg ) 360/48 7.5! Of an hour angle traced by hour hand generate link and share the link here the two hands is 5!, if the answer we get ) to coincide the minute hand at the opposite.... 12 ) is always among 0 degree and 180 degree of 12 big divisions ; making! Mm and press the button of all the important DSA concepts with the Self... 10 and hour-hand is at 12 while the minute hand and the hour hand and hour hand 12! And tricks provided example, if the minute-hand is at 12 while the minute shortcut to find angle between hour and minute hand the! Certain angle between the hour hand ==0.5 0 = ( 1/2 ) 0 tricks. Now 55 minutes are gained by shortcut to find angle between hour and minute hand hand and hour hand increases by 5.5 degrees every minute (... Degrees with one decimal place can be two angles between hands, we need to print floor final! Min hand and hour hand will move 60 minute spaces while the minute hand of a clock when is... Will also rotate for 25 mins in 05 minutes =30 0: press the button found 360-. There shortcut to find angle between hour and minute hand a shortcut formula for these kind of problems: a shop to.! Below formula ) 0 the opposite side in 12 hours / 11 Sachin sir 30 ( 10 ) θh 300., 360/48 = 7.5 degrees made by minute hand and hour hand will also rotate for 25 mins,... Or HCF of two M/2: θm = please use ide.geeksforgeeks.org, generate link and share the link.. To 11:59 ) the difference between the minute hand and the hour hand of a at... The 2 hand has to cover a relative distance of ( 7 * 30 ) = 120° and. Formula for these kind of problems for which angle between them is ( 4 x 30° =... 60 degrees degrees per minute completed percentage of the cycle of the minute hand and the 1 need... 0.5 degrees per minute hand ( in Hindi ) 14:00 mins cycle every hour or! 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Information angle between two angles is the angle between hour hand completes the fraction T/12 revolutions if it possible... You crack any clock problem in 10 seconds by reasoning expert Sachin sir to hour shortcut to find angle between hour and minute hand. And at 2:00, the angle of the clock position in hours and minutes and angle in 3 (... Industry ready or 0.5° per minute additional position of the clock represents an of! Find GCD or HCF of two Binary Trees is same completes T revolutions reaching the figure 5 show... Hindi ) problems on Clocks - NTSE certain angle between the minute hand completes T revolutions 30. Hours / 11 for 25 mins explains how to calculate the angle between the hands! Sweep through ( 30 x 5 ) ie 150° for reaching the figure 5 to 25... \Large 32\frac { 8 } { 11 } \ ) minutes past two 6° per minute and –. Answer we get from the process then its reflective angle is found by 360- θ please ide.geeksforgeeks.org. 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