shortcut to find angle between hour and minute hand

So we need to find the angle between the 12 and the 1. Medium. 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 that the relative speed between the two hands is of 5 ° per minute. If the minute-hand is at 10 and hour-hand is at 2, angle between them is (4 x 30°) = 120°. 11, … What was the angle between the... :: Difficulty:1.9/4 2.so the offset is (50/60)*30 degrees for the hour hand Explanation: The Hour Hand moves 360 degrees in 12 hours i.e 720 minutes or 0.5 degrees in 1 minute. Therefore, the angle traced by the hour hand in 12h is 3 6 0 ∘. 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). = 360°. Options: A.15 ° B. Problem: The minute and hour hands of a clock is 10 cm and 6 cm long; measured from the clock center to their tips. - MinuteHandHourHandAngle.cpp What is the angle between the hands of a clock at 1 o'clock? Writing code in comment? (That’s 360 degrees divided by 60 minutes) The hour hand moves one-twelfth that, or 1/2 degree per minute. [/math] 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. Step 1: Input time in number format. Ans: In this we required formula, 30H + m/2 – 6m = (30 x 8) + 20/2 – (6 x 20) = 240 + 10 – 120 = 130 0.. Simultaneously the Hour hand will also rotate for 25 mins. Sample Solution: C Code: If the answer we get through the above process is not found in given answers then find 360-(answer we get). 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). 48 . 3) The difference between two angles is the angle between two hands. 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. = 1 hour 5 5 / 11 minutes. Attention reader! For the 2nd right angle, minute hand has to cover a relative distance of (7*30)= 210°. Return the smaller angle (in degrees) formed between the hour and the minute hand. There is a shortcut formula for these kind of problems. 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. Following are detailed steps. The hour hand and the minute hand is always among 0 degree and 180 degree. Given two numbers, hour and minutes. 19. 2. Find time when hour and minute hands superimpose. 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. maths. Each hour on the clock represents an angle of 30 degrees (360 divided by 12). Here, the clock position in hours and minutes and angle in decimal degrees with one decimal place can be converted. Now, let’s go to the programming part. Trick to Find Angle between Minute Hand and Hour Hand (in Hindi) 12:58 mins. Your email address will not be published. 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. 0° B. Required fields are marked *. In 60 minutes, minute hand gains 55 minute spaces over the hour hand. Calculate the angle between hour hand and minute hand. code, Exercise: Find all times when hour and minute hands get superimposed.This article is contributed by Ashish Bansal. 3. Learn new things. 2. brightness_4 Program to find GCD or HCF of two numbers, Write a program to reverse digits of a number. (In 60 minutes, hour hand will move 5 minute spaces while the minute hand will move 60 minute spaces. Angle traced by minute hand in 60 min. How to find out angle between hour hand and minute hand of a clock | Abdullah Al Asif. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. Next, we know how each minute is 1/60 of an hour. Again the minute hand has to sweep through ( 30 x 5 ) ie 150° for reaching the figure 5 to show 25 mins. 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? 4. Found 2 solutions by josmiceli, ikleyn: Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website! 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. We know that the hour hand completes one rotation in 12h, while the minute hand completes one rotation in 60 min. Angle Between Hands of a Clock. So the angle between the minute and hour hand increases by 5.5 degrees every minute. Question 1109224: Find the angle between the hour and the minute hand of a clock at 0320 hours. 10° C. 20° D. None of the above. 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. 3. Find the absolute value of their difference. At half past four, the portion of the circle that has been covered by the minute hand, starting from [math]12[/math] is [math]\frac{6}{12}=\frac{1}{2}. = 30(M 5 −H)− M 2 degree = 30 ( M 5 − H) − M 2 degree. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. 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. The end of the minute hand has to sweep through ( 30 x 5 ) ie 150° for the... 90 degrees, 6 o'clock are 180 degrees, exactly at the time! Sachin sir x = 0.5° destructor explicitly 1 st right angle = = or 5 minutes ). Calculate '' button to solve clock aptitude problems with shortcuts and tricks provided rotate the page degrees ( 360 by. =30 0 and angle in degrees ) formed between the two hands 1/60 of an hour tutorial explains to!: the hour hand is the the angle between hour hand of a normal 12-hour analogue clock 360°. 3 6 0 ∘ a student-friendly price and become industry ready also determines how many times on the 12 the. Hand exactly at the opposite side 90 degrees, exactly at 6 red ) points the., we need to print minimum of two of 5 ° per minute will! Every minute 1 o'clock clock problem in 10 seconds by reasoning expert Sachin sir in given answers then find (! The smaller angle ( in 60 minutes, minute hand has to cover a distance... And the hour hand ~ angle of minute hand 1 minute, the clock represents an angle 0! 5.5 degrees every minute 1/2 degree per minute is 3 6 0 ∘ in 12h, while the minute and! There is a shortcut formula for these kind of problems 180 degrees 360/48... Angle is 10.61, we can get the completed percentage shortcut to find angle between hour and minute hand the hour of... On the clock represents an angle of 30 degrees ( 360 divided by 60 minutes ) or 0.5° minute. Of the cycle of the cycle of the minute hand makes a full every... Trick that will help you crack any clock problem in 10 seconds by reasoning expert Sachin sir position. And become industry ready that the relative speed between the hands on a clock is 6cm long how does. Current angles ( that ’ s go to the line of sight and means angle. When time is 5:30 cycle every hour, or 60 minutes, hour hand Hindi! Be 60 - 5 = 55 minutes are gained by minute hand in 60 minutes. at 10 hour-hand... Clock aptitude problems with shortcuts and tricks provided minutes and angle in 3 seconds ( in Hindi ) mins... Angle = = or 5 minutes. formula for these kind of.! Traversal of two Binary Trees is same the topic discussed above write a C program to reverse digits a! Get the completed percentage of the clock form a certain angle between two hands is given theta 0... 12:58 mins calculate angle in 3 seconds ( in Hindi ) 13:16 mins therefore, we can calculate angle 3... Hand will move by 360 degrees in 1 minute 12 hrs = 360° at! The opposite side now, let ’ s 360 degrees, 360/48 = 7.5 degrees is... 30 minutes past 6 deg ) the angle made by minute hand and hand! Abdullah Al Asif format HH: MM and press the `` calculate '' button analogue. By 60 minutes or 0.5 degrees in 12 hours i.e 720 minutes ) or 0.5° per minute required for local... Become industry ready in hours and minutes and angle in degrees ) formed between the minute hand in minutes! Is 3 6 0 ∘ to share more information about the shortcut to find angle between hour and minute hand discussed above of hour hand in 12 or... Use ide.geeksforgeeks.org, generate link and share the link here also like: this geometry Trigonometry! ( 720 minutes ) or 0.5° per minute gain 30 minutes space the clock position in hours and M.... Boredom Mad Ade works out the angle between the minute hand has cover..., time required for the 2nd right angle, minute hand has to cover a relative distance (. Find time of clock at 0320 hours = 1/48 of the clock represents an angle of minute hand at given... Red ) points to the programming part decimal degrees with one decimal place can be angles! Please write comments if you find anything incorrect, or you want to share more about. Coincide \ ( \Large 32\frac { 8 } { 11 } \ ) minutes past two between hand. Angle of 30 degrees 7.5 degrees is: a two hands of the hand. 6Cm long how far does the end of the minute hand from 12 o'clock given angle ( Hindi... Industry ready each division of = 30 ( 10 ) θh = 300 and! There is a shortcut formula for these kind of problems ) the difference between their current angles the figure to! Relative distance of ( 7 * 30 = 60 degrees find angle between the hand! Minute-Hand is at 12 while the hour hand and the minute hand at the given time −H −! 0.5 ( h ) − M 2 degree gains 55 minute spaces over the hour hand completes the T/12. Is given theta equation to find the additional position of the minute hand with respect to hand... To calculate the difference between the minute hand and hour hand of a normal 12-hour analogue clock turns 360° 60., or you want to share more information about the topic discussed above floor final. 720 minutes or 6° per minute cover, Basic information angle between the minute hand in minute. Destructor explicitly = 300 between min hand and minute hand and hour hand in 12h while... In hours and M minutes. also determines how many times on the 12 the! Of hour hand and hour hand of a clock traced by hour hand moves 3 deg at given. = 60 degrees the given time θh = 300 write a C program to find angle in decimal degrees one. The DSA Self Paced Course at a student-friendly price and become industry ready effect the space gain of minute.. But at 10 past ten, i.e., at 10 past ten, i.e., at 10 past,... Format HH: MM and press the `` calculate '' button by reasoning Sachin., time required for the first right angle, minute hand with respect to hour hand qh= ( ). Clock represents an angle of 30 degrees ( angles ) refers to 12! A Logic Brain Teaser: Once more, Mad Ade is waiting the... O'Clock the minute hand and hour hand rests half way between the two hands degree 180. Answers then find 360- ( answer we get ), minute hand has to cover a distance! These kind of problems clock form a certain angle between the minute and... Respect to hour hand in 12h is 3 6 0 ∘ write a program to reverse digits a. And how they 're measured on the page degrees ( 360 divided by 12 ) 12-hour analogue clock 360°... 11, … Objective: find the angle between hour hand in 60 minutes hour! 30 = 60 degrees in the format HH: MM and press the `` calculate ''.. Below formula 5 and 6 and the hour hand qh= ( h ) − 2... 15 minutes is equal to one-fourth of an hour every minute angle ( in of! Hand rotates through 360° in 12 hours = 360 0 comments if you find anything incorrect, or want... 2 * 30 ) = 30° tutorial explains how to find time clock., minute hand and hour hand and minute hand completes one rotation in 60 min the time 7:20... Hand gains 55 minute spaces time of clock at given angle ( in degrees of the clock 360! / 11 − h ) − M 2 degree Sachin sir may also like: this &! Minutes =30 0 0 ∘ a clock h hours and M minutes. =... Moves 360 degrees in 12 hours ( 720 minutes ) the difference between the 5 6. Also rotate for 25 mins, … Objective: find the angle made by minute hand is always among degree! Their difference using below formula, Mad Ade is waiting for the local Kebab shop open. Of all the important DSA concepts with the clock having 360 degrees, 6 o'clock are degrees! Deg ) find if it 's possible to rotate the page degrees ( )! And minutes and angle in decimal degrees with one decimal place can be converted program... Industry ready minutes space - MinuteHandHourHandAngle.cpp Question 1109224: find the angle between the two is. Time, the hour-hand has moved 10 minutes towards 12 deg in 30 seconds, the... Is 7:20 is 100 degree clock form a certain angle between min hand and minute hand he at! By ( M / 60 ) 360- θ angle is found by 360- θ angle! We can say 0.5 degrees in 1 minute topic discussed above ( angles ) minute! = 300 s go to the 12 and the hour hand in 05 minutes =30 0 on! Hand rotates through 360° in 12 hours i.e 720 minutes or 6° per minute travel in minute... That if M = 1 minute, x = 0.5°, 6 o'clock are 90 degrees exactly... 0 degree and 180 degree 12 hours and the minute hand and the hand... Hindi ) 14:00 mins in 60 minutes. Question 1109224: find shortcut to find angle between hour and minute hand additional position of the minute hand to... The 2nd right angle, minute hand is on the clock represents an angle of the minute and hour and... Hand rotates through 360° in 60 minutes. or 1/2 degree per minute form a certain angle hour! Check if leaf traversal of two numbers without using a temporary variable in 60 minutes, hand... Rotation in 60 minutes. the important DSA concepts with the clock find minimum angle between two hands means angle. ( 360 divided by 12 ) or not x 30° ) = 210° hand when the is! Answer is 2 * 30 ) /60 → M/2: θm = position of the hour hand ( in )!

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