Here H is the hour and M is the minutes past the hour. Yes (32) | No (1) nirlep singh (9 years ago) just the simple solution. 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. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. int angle = Math.abs(h – m); if (angle > 180) { Now, return to the time of 6:50. Enter your email address to subscribe to new posts and receive notifications of new posts by email. If the angle is greater than 180 degrees then we subtract it from 360 degrees. The hour hand of a 12-hour analogue clock turns 360° in 12 hours and the minute hand rotates through 360° in 60 minutes. Example: Input: h = 12:00, m = 30.00 Output: 165 degree . Following are detailed steps. Angle traced by hour hand in 12 hrs = 360° 9. Step 3: Fufill your Geometry dreams! We can clearly say, Hour hand is fully depending on Minutes hand. Input:  9:00 link brightness_4 code // CPP code to find the minute at which // the minute hand … References: Clock Angle Problem – Wikipedia. Thanks for sharing your concerns. Program to determine the angle between the hands of a clock. Step 1: Input time in number format. Angle traced by minute hand in 60 min. int h = 360/12; // 1 hour = 30 degree Each hour represents 30 degrees. Clock Angle Problem: Given time in hh:mm format, calculate the shorter angle between hour and minute hand in an analog clock. The formula can be deduced by observing that the frequency of intersection of the two hands is 24 – 2 = 22 times per day. The angle is typically measured in degrees from the mark of number 12 clockwise. For the hour hand, one hour equates to 30 degrees, one minute to half a degree. Each hour represents 30 degrees. This video is unavailable. so in (60 h + 3)/ 60 hours it will move (60 h + 3) × 30/ 60 degrees = 30 h + m / 2 degree. The angle between hour and minute hand in 4:20 is 10 degrees. Now let’s try to write a method to calculate the angle between the hour and minute hand. At 5:30 the hour hand rests half way between the 5 and 6 and the minute hand exactly at 6.   The total angle traced by the hour hand is the angle traced in 7 hours and 10 minutes. The angle is formed from the hour hand clockwise towards the minute hand. In this tutorial, we will learn to get or find the angle between the hour hand and minute hand in C++.   Comment hidden because of low score. Your approach will give 60 as answer, but it’s wrong. return angle; 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. Output: 90° Input should be 10:00. 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 . The correct answer is 2 * 30 = 60 degrees. angle between hour hand and minute hand =240-20=220 degree or 360-220=140. So our formula is M(30)/60 → M/2: time is h hours and m minutes i.e. = 30 [H -(M/5)] + M/2 degree = 30H – (11M/2) 2. (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? H is an integer in the range 0–11. 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. Here, the small intermediate angle, which is smaller or equal as 180 degrees, is the angle which one would intuitively call angle between hands. HINT : The hour hand moves $1/2$ degrees per minute while minute hand moves 6 degrees per minute. 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. { The time is usually based on a 12-hour clock. 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. 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. h m/60 hours = (60 h + 3)/ 60 hours. play_arrow. Why if angle is greater than 180° ,why it is 360-angle? We have to find a smaller angle (in sexagesimal units) formed between the hour and the minute hand. The minute hand moves 360 degree in 60 minute (or 6 degree in one minute) and hour hand moves 360 … ), Equation for the angle of the minute hand. 1) Calculate the angle made by hour hand with respect to 12:00 in h hours and m minutes … Here's how. 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 … 2) Calculate the angle made by minute hand with respect to 12:00 in h hours and m minutes.   Let us assume. The hour and minute hands are superimposed only when their angle is the same. Clock angle problems relate two different measurements: angles and time. 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. 10:54.54, and 12:00. 3) The difference between two angles is the angle between two hands. Formulas for Clock A) Angle between hands of a clock. = 360°. The time is 5:24. 1. angle = 360 – angle; mounika on Oct 2, 2013. For the minute hand, one minute equates to 6 degrees. Watch Queue Queue The time is usually based on a 12-hour clock. Input:  5:30 The minute hand sits on the 10. Hence, … How to calculate the two angles with respect to 12:00? 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). 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). int m = 360/60; // 1 min = 6 degree 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 … 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 Output: 15° Ans: In this we required formula, 30H + m/2 – 6m = (30 x 8) + 20/2 – (6 x 20) = 240 + 10 – 120 = 130 0.. Input:  12:00 h = h*hour; // 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. x= Starting position of hour angle. Clock Angle Calculator. This gives times of: 0:00, 1:05.45, 2:10.90, 3:16.36, 4:21.81, 5:27.27. The formula for finding the angle between starting position and hour hand at a specific time can be written as x = ( hour + minute … The minute hand rotates through 360° in 60 minutes or 6° per minute.[1].   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. 3) The difference between two angles is the angle between two hands. Flag as Inappropriate Flag as Inappropriate 0 The formula is 180 - | 180 - | m * 6 - (h * 30 + m * 0.5) | Vikram on Oct 29, 2013. 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. Click to expand. The answer is 90. Write a program to determine the angle between the hands of a clock. Created by Kyle O'Brien; Clock Angle Calculator. Ex1: Find the angle between the hour hand and the minute hand of a clock when the time is 8:20. 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 large intermediate angle is the angle with the longer distance. The angle should be in degrees and measured clockwise from the 12 o’clock position of the clock. When are the hour and minute hands of a clock superimposed? When minute hand is behind the hour hand, the angle between the two hands at M minutes past H o’clock. C++. 3 o'clock are 90 degrees, 6 o'clock are 180 degrees, exactly at the opposite side. 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. Minute hand moves 6 degree per minute . What will be the acute angle between the hour-hand and the minute-hand at 4:37 p.m.? If you'd like an angle less than 180 ∘, take min (360 ∘ − Δ θ, Δ θ). A method to solve such problems is to consider the rate of change of the angle in degrees per minute. edit close. 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. Do NOT follow this link or you will be banned from the site. gives the angle between the hands measured clockwise relative to the hour hand where G2 contains a time serial number between 0 and 1. Angle between hand and minute = angle of hour hand ~ angle of minute hand. To return the smaller of the clockwise and counterclockwise angles, wrap the formula above in … Easy trick Clock problems Angle formula. 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. (0.45 minutes are exactly 27.27 seconds. General formula for angle between two hands of a clock. 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 Ask the user to enter two int numbers - h for hours, and m for minutes. Clock angle problems relate two different measurements: angles and time. So if the input is like hour = 12 and min := 30, then the result will be 165°. y= Starting position of minute angle. } hence, for 20 minutes it rotates by an angle of 20*1/2 = 10 degrees. Step 1: First create a function that takes two int type of arguments - hour and minute. The output is correct. 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. 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, 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) … So our formula is M(30)/60 → M/2: Please note that the hour hand doesn’t stay at same position when minute hand of clock is moving. Please note that 9:60 is not a valid time. 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 know that the angle traced by the hour hand in one hour is 30º and in one minute is 1/2º. 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 … What if the given time is 9:60? Hour hand moves 30 degree per hour . Therefore, the measure of the angle between the minute and hour hands at 4:42 is 111°. so in y minutes it will … filter_none. For a minute, the hour hand rotates by 30/60 = 1/2 degrees. Suppose the hour and minute hands were pointing to 6:00, then there's a 180 degree angle since it's a straight line. 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. Suppose we have two numbers, hour and minutes. The idea is to take 12:00 (h = 12, m = 0) as a reference. So, we can calculate angle in degrees of the hour hand and minute hand separately and return their difference using below formula. Clock angle problems are a type of mathematical problem which involve finding the angle between the hands of an analog clock. 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. Flag as Inappropriate Flag as … Degree(min) = M*(360/60). 6:32.72, 7:38.18, 8:43.63, 9:49.09, Related Questions. Therefore, (30º x 7) + (10 x 1/2º) = 215º is the angle traced by the hour hand. m = m*min; 0. of 0 vote. Similarly, each minute on the clock will represent an angle … I also got 95 degrees. there is an error: abs is not within the scope in the c++ code. Thanks for sharing your concerns. Is this solution Helpfull? Objective: Find the Angle between hour hand and minute hand at the given time. And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. public int findAngle(int hour, int min) Let O be the angle at h hours and m minutes. The reference point 12 o'clock commonly refers to the line of sight and means an angle of 0 degrees. }. - Total angle between hour & minute hand = 120 + 5 = 125 deg - bbattey December 15, 2012 | Flag Reply. The angle is typically measured in degrees from the mark of number 12 clockwise. How to calculate the two angles with respect to 12:00? Step 2: Press the "Calculate" button. Formed between the hour hand moves $ 1/2 $ degrees per minute while minute hand at the opposite side the... 180 degree angle since it 's a 180 degree angle since it a... Two different measurements: angles and time angle problems relate two different measurements: angles time... A degree step 2: Press the `` calculate '' button calculate two... The correct answer is 2 * 30 = 60 degrees be 165° between two hands is usually based on 12-hour! 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