2) Calculate the angle made by minute hand with respect to 12:00 in h hours and m minutes. 3) The difference between two angles is the angle between two hands. For the minute hand, one minute equates to 6 degrees. angle = 360 – angle; 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 minute hand. Program to determine the angle between the hands of a clock. Ans: In this we required formula, 30H + m/2 – 6m = (30 x 8) + 20/2 – (6 x 20) = 240 + 10 – 120 = 130 0.. it is correct cause 9 15 means that an hour hand is not at the 9 but at 1/4 of an hour gap (between 9:10). So our formula is M(30)/60 → M/2: 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. Please note that the hour hand doesn’t stay at same position when minute hand of clock is moving. The idea is to take 12:00 (h = 12, m = 0) as a reference. 3) The difference between two angles is the angle between two hands. 1. Minute hand moves 6 degree per minute . Q: What is the measure of the smaller of the two angles formed between the hour hand and the minute hand of a clock when … 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. play_arrow. 10:54.54, and 12:00. Each hour represents 30 degrees. 0. of 0 vote. Let O be the angle at h hours and m minutes. Output: 90° What will be the acute angle between the hour-hand and the minute-hand at 4:37 p.m.? 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 correct answer is 2 * 30 = 60 degrees. 10. 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). Ex1: Find the angle between the hour hand and the minute hand of a clock when the time is 8:20. so in y minutes it will … Also, we say this problem as analog clock angle problem where we have to find the angle between the hands of a clock at a given time. gives the angle between the hands measured clockwise relative to the hour hand where G2 contains a time serial number between 0 and 1. In the case where the minute hand is ahead of the hour hand, the angle between the two hands at M minutes past H ‘o clock will be calculated as Ask the user to enter two int numbers - h for hours, and m for minutes. Input should be 10:00. Input:  9:00 Step 2: Press the "Calculate" button. The angle is formed from the hour hand clockwise towards the minute hand. Comment hidden because of low score. How to calculate the two angles with respect to 12:00? x= Starting position of hour angle. The time is 5:24. Created by Kyle O'Brien; Clock Angle Calculator. Let us assume. Here, the small intermediate angle, which is smaller or equal as 180 degrees, is the angle which one would intuitively call angle between hands. Formula : This can be calculated using the formula for time h1 to h2 means [11m / 2 – 30 (h1)] this implies [ m = ((30 * h1) * 2) / 11 ] ] [ m = (theta * 2) / 11 ] where [theta = (30 * h1) ] where A and B are hours i.e if given hour is (2, 3) then A = 2 and B = 3 . … So, we can calculate angle in degrees of the hour hand and minute hand separately and return their difference using below formula, Degree(hr) = H*(360/12) + (M*360)/(12*60) Please note that 9:60 is not a valid time. mounika on Oct 2, 2013.   Watch Queue Queue Related Questions. Easy trick Clock problems Angle formula. 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. Enter your email address to subscribe to new posts and receive notifications of new posts by email. Following are detailed steps. Input:  12:00 time is h hours and m minutes i.e. h m/60 hours = (60 h + 3)/ 60 hours. = 30 [H -(M/5)] + M/2 degree = 30H – (11M/2) 2. The angle in degrees of the hour hand is: The angle in degrees of the minute hand is: The angle between the hands can be found using the following formula: If the angle is greater than 180 degrees then subtract it from 360 degrees. Therefore, (30º x 7) + (10 x 1/2º) = 215º is the angle traced by the hour hand. Click to expand. A method to solve such problems is to consider the rate of change of the angle in degrees per minute. Suppose we have two numbers, hour and minutes. Step 3: Fufill your Geometry dreams! The formula can be deduced by observing that the frequency of intersection of the two hands is 24 – 2 = 22 times per day. What if the given time is 9:60? when min hand is on 40 the angle is subtended =240 and we know that hour hand move 1/2 degree per min so in 40 min it moved 40/2 =20 degree so angle would be 240-20=220 so its reflex angle would be 360 … Your approach will give 60 as answer, but it’s wrong.   Do NOT follow this link or you will be banned from the site. Now let’s try to write a method to calculate the angle between the hour and minute hand. }. Step 1: Input time in number format. Here's how. 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. = 360°. Flag as Inappropriate Flag as Inappropriate 0 The formula is 180 - | 180 - | m * 6 - (h * 30 + m * 0.5) | Vikram on Oct 29, 2013. Now, return to the time of 6:50. Angle between hand and minute = angle of hour hand ~ angle of minute hand. Clock angle problems relate two different measurements: angles and time. The angle between hour and minute hand in 4:20 is 10 degrees. The angle is typically measured in degrees from the mark of number 12 clockwise. return angle; The output is correct. { The time is usually based on a 12-hour clock. How to calculate the two angles with respect to 12:00? This gives times of: 0:00, 1:05.45, 2:10.90, 3:16.36, 4:21.81, 5:27.27. (47 votes, average: 4.83 out of 5)Loading... why are we doing the part (min*360)/(12*60) in finding the angle for hour? 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 … The minute hand sits on the 10. there is an error: abs is not within the scope in the c++ code. Each hour represents 30 degrees. public int findAngle(int hour, int min) The reference point 12 o'clock commonly refers to the line of sight and means an angle of 0 degrees. Minute hand: ω m = 360° per hour = 6° per minute = 0.1° per second Hour hand: ω h = 360° per 12 hours = 30° per hour = 0.5° per minute = 1/120 degrees per second The angle θ, in degrees, swept by a hand in t minutes (seconds) can be determined using the formula Write a program to determine the angle between the hands of a clock. We can clearly say, Hour hand is fully depending on Minutes hand. Thanks for sharing your concerns. And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. For a minute, the hour hand rotates by 30/60 = 1/2 degrees. I also got 95 degrees. Thanks for sharing your concerns. int angle = Math.abs(h – m); if (angle > 180) { Each hour on the clock represents an angle of 30 degrees (360 divided by 12). The formula for finding the angle between starting position and hour hand at a specific time can be written as x = ( hour + minute … H is an integer in the range 0–11. Degree(min) = M*(360/60). For Example: Given Input: h = 6:00, m = 60.00; Output: 180 degree ; Now, we will take 12:00 where h = 12 and m = 0 as a reference. Learn how and when to remove this template message, https://web.archive.org/web/20100615083701/http://delphiforfun.org/Programs/clock_angle.htm, https://web.archive.org/web/20100608044951/http://www.jimloy.com/puzz/clock1.htm, https://en.wikipedia.org/w/index.php?title=Clock_angle_problem&oldid=1000512611, Articles needing additional references from November 2014, All articles needing additional references, Creative Commons Attribution-ShareAlike License, This page was last edited on 15 January 2021, at 11:49. Angle traced by minute hand in 60 min. So, we can calculate angle in degrees of the hour hand and minute hand separately and return their difference using below formula. 6:32.72, 7:38.18, 8:43.63, 9:49.09, edit close. HINT : The hour hand moves \$1/2\$ degrees per minute while minute hand moves 6 degrees per minute.   The answer is 90. If you'd like an angle less than 180 ∘, take min (360 ∘ − Δ θ, Δ θ). angle between hour hand and minute hand =240-20=220 degree or 360-220=140. Output: 15° Why if angle is greater than 180° ,why it is 360-angle? So our formula is M(30)/60 → M/2: Objective: Find the Angle between hour hand and minute hand at the given time. Input:  5:30 m = m*min; For the hour hand, one hour equates to 30 degrees, one minute to half a degree. Yes (32) | No (1) nirlep singh (9 years ago) just the simple solution. filter_none. Calculate the Angle between 12 and the Hour hand 3: Since there are 360 degrees in a full circle (clock), and there are 12 hours, each hour represents 360/12 = 30 degrees So our formula is 30(H) So our formula is 30(3) θh = 90 Next, we know how each minute is 1/60 of an hour. Here H is the hour and M is the minutes past the hour. The large intermediate angle is the angle with the longer distance. Hence, … Output: 0°, Please note that hh:60 should be considered as (hh+1):0, The idea is to consider the rate of change of the angle in degrees per minute. Clock angle problems relate two different measurements: angles and time. We have to find a smaller angle (in sexagesimal units) formed between the hour and the minute hand. References: Clock Angle Problem – Wikipedia. Here, the clock position in hours and minutes and angle in decimal degrees with one decimal place can be converted. We know that the angle traced by the hour hand in one hour is 30º and in one minute is 1/2º. Calculate the Angle between 12 and the Hour hand 10: Since there are 360 degrees in a full circle (clock), and there are 12 hours, each hour represents 360/12 = 30 degrees So our formula is 30(H) So our formula is 30(10) θh = 300 Next, we know how each minute is 1/60 of an hour. so in (60 h + 3)/ 60 hours it will move (60 h + 3) × 30/ 60 degrees = 30 h + m / 2 degree. Calculate the angle between hour hand and minute hand This problem is know as Clock angle problem where we need to find angle between hands of an analog clock at. Similarly, each minute on the clock will represent an angle … Clock angle problems are a type of mathematical problem which involve finding the angle between the hands of an analog clock. General formula for angle between two hands of a clock. Is this solution Helpfull? The time is usually based on a 12-hour clock. 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. link brightness_4 code // CPP code to find the minute at which // the minute hand … If the angle is greater than 180 degrees then we subtract it from 360 degrees. Angle traced by hour hand in 12 hrs = 360° 9. 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. Formulas for Clock A) Angle between hands of a clock. When are the hour and minute hands of a clock superimposed? The minute hand rotates through 360° in 60 minutes or 6° per minute.[1]. The hour hand of a 12-hour analogue clock turns 360° in 12 hours and the minute hand rotates through 360° in 60 minutes. 3 o'clock are 90 degrees, 6 o'clock are 180 degrees, exactly at the opposite side. The angle should be in degrees and measured clockwise from the 12 o’clock position of the clock. int h = 360/12; // 1 hour = 30 degree Clock Angle Problem: Given time in hh:mm format, calculate the shorter angle between hour and minute hand in an analog clock. Example: Input: h = 12:00, m = 30.00 Output: 165 degree . The minute hand moves 360 degree in 60 minute (or 6 degree in one minute) and hour hand moves 360 … When minute hand is behind the hour hand, the angle between the two hands at M minutes past H o’clock. The angle is typically measured in degrees from the mark of number 12 clockwise. Clock Angle Calculator. Hour hand moves 30 degree per hour . The hour and minute hands are superimposed only when their angle is the same. So if the input is like hour = 12 and min := 30, then the result will be 165°. hence, for 20 minutes it rotates by an angle of 20*1/2 = 10 degrees. Therefore, the measure of the angle between the minute and hour hands at 4:42 is 111°. This video is unavailable. h = h*hour; } To return the smaller of the clockwise and counterclockwise angles, wrap the formula above in … Step 1: First create a function that takes two int type of arguments - hour and minute. The total angle traced by the hour hand is the angle traced in 7 hours and 10 minutes. // Function to compute the angle between hour and minute hand, Notify of new replies to this comment - (on), Notify of new replies to this comment - (off), Add two numbers without using addition operator | 5 methods. (0.45 minutes are exactly 27.27 seconds. int m = 360/60; // 1 min = 6 degree y= Starting position of minute angle. At 5:30 the hour hand rests half way between the 5 and 6 and the minute hand exactly at 6. 1) Calculate the angle made by hour hand with respect to 12:00 in h hours and m minutes … C++. Flag as Inappropriate Flag as …   A) 18.5 ° B) 83.5° C) 18° D) 6.5° Answer: B) 83.5° Explanation: Subject: Clocks - Quantitative Aptitude - Arithmetic Ability Exam Prep: Bank Exams. Suppose the hour and minute hands were pointing to 6:00, then there's a 180 degree angle since it's a straight line. In this tutorial, we will learn to get or find the angle between the hour hand and minute hand in C++. - Total angle between hour & minute hand = 120 + 5 = 125 deg - bbattey December 15, 2012 | Flag Reply. As per formula angle between the hour and minute hand will be = |5(6*1-1.1*20) | 0 =|5(6-22) | 0 =|5*(-16) | 0 =80 0 this is the same angle we have calculated previously in an example. Angle at h hours and m is the hour are superimposed only their. 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( 11M/2 ) 2 represent an angle less than 180 ∘, take min ( 360 ∘ Δ... Posts and receive notifications of new posts and receive notifications of new posts by email takes two int type arguments! 'S a 180 degree angle since it 's a 180 degree angle since it 's a straight line 1:05.45! Measured clockwise relative to the hour hand doesn ’ t stay at same position when minute hand try write... In C++ based on a 12-hour analogue clock turns 360° in 60 minutes the mark number. ) ] + M/2 degree = 30H – ( 11M/2 ) 2 with one angle between hour and minute hand formula!