A clock is a circle, and a circle always contains 360 degrees. Create a fraction out of these two quantities to use later as a conversion rate: Between the and there are minutes, so multiply this by the conversion rate to solve for the number of degrees: What is the measure of the smaller angle formed by the hands of an analog watch if the hour hand is on the 10 and the minute hand is on the 2? Now, the relative speed of the minute hand is 6 – 1/2 = 11/2 or 5.5 degrees. 2014-12-15 04:07:24 . However, you must take into account that in the half hour that has passed from 3:00 to 3:30, the hour hand has moved half the distance between the 3 and 4. Last Reviewed and Updated on February 7, 2020. A clock takes the shape of a circle, which is composed of 360 degrees. Question - 1: The angle between the minute hand and the hour hand of a clock when the time is 4 : 20. As the clock is divided into 12 sections, the distance between each number is equivalent to 30° (360/12). As the clock is divided into 12 sections, the distance between each number is equivalent to 30° (360/12). If it is 2:00 PM, what is the measure of the angle between the minute and hour hands of the clock? Determine the included angle between the hands of a clock if the time of the day is given. What angle is that? Nice! So that means that the clock hands are making an angle that is 1/4 of the clock (which is a circle). 145º. But I wonder how to derive it. in a clock. Angle 2 = 360 - 300°. Angle Between Hands of a Clock in C++. The formula to get the angle between the hour and minute hands of the clock can be shown as: Angle in degrees = (M * 6) - [(H * 30) + ((M/60)*30)] where M = the no. The answer indicates that the hands of a clock will make an angle of 10 between 3 and 4 o’clock at exactly 3:18:2/11 ( 3’ o clock 18 minutes and 2/11 of minutes = 2/11*60 = 10.9 seconds) A few other links to logical reasoning based concept have been given below in the table, candidates can refer to the these for any kind of assistance: I understand that delta theta is 90 degrees (i.e. There are 12 of them in a complete turn (360°), so each one must be 360° ÷ 12 = 30° So the angle between the hands of a clock at 1 o'clock is 30°. It happens due to only one such incident between 12 and 1'o clock. Since we know that each number on the clock is separated by 30 degrees, we can simply add 30 to 90 degrees and get 120 degrees for the angle at 4:00. There are degrees in one complete revolution of a circle. answered Mar 9 '12 at 14:01. Between 10 o’clock and 11 o’clock the minute hand and hour hands are at right angles twice at approximately 10:05.5 and 10:38 when θ is 270° and 90°, respectively. By dividing the clock into pieces, we can determine that the angle between the two hands is . We would also consider the angle between the hands of the clock going counter-clockwise. EXAMPLE 1. 60 minutes = 360 degrees for minute hand or 10 degrees per minute. If a watch or a clock indicates 8.15, when the correct time is 8, it is said to be 15 minutes too fast. 33: 5: minutes past 7 am: 12: b. If Varsity Tutors takes action in response to 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. This problem is know as Clock angle problem where we need to find angle between hands of an analog clock at a given time. What is the measure, in degrees, of the acute angle formed by the hands of a 12-hour clock that reads exactly 3:10? and the minute hand is in #12, which is 0 minute . Suppose we have two numbers, hour and minutes. There are minutes in one hour. When the minute hand is behind the hour hand, the angle between the two hands at M M minutes past H H 'o clock. Special Angles between the Hour Hand and the Minute Hand of a clock. A clock shows that the time is 9:00am. Between every two hours they are perpendicular to each other two times except between 2, 3 and 3, 4 and 8, … = 30(H − M 5)+ M 2 = 30 ( H − M 5) + M 2 degree. Since there are in a circle, every hour that passes is a movement of . A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe viii. Thus, the angle between them is  the degrees of the entire clcok, which is . The idea is to consider the rate of change of the angle in degrees per minute. 15° At 5:30 the hour hand rests half way between the 5 and 6 and the minute hand exactly at 6. hand in 20 min. The hour hand of a 12-hour analogue clock turns 360° in … a Your Infringement Notice may be forwarded to the party that made the content available or to third parties such So the angle is 180 - … 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. either the copyright owner or a person authorized to act on their behalf. What is the angle formed by the minute hand and the hour hand at 4:45? $${\text{192}}{\frac{1}{2}^ \circ }$$ C. 195º. Since we know that the angle covered by hour hand in one minute =0.5 0 and the hour hand covered g1 segment in 20 minutes so we can say that angle covered by sub gap g1 will be =20*0.5 0 = 10 0 . Subject: Clock puzzles Exam Prep: AIEEE, Bank Exams, CAT Job Role: Bank Clerk, Bank PO. Click to see List of All Posts; Program to determine the angle between the hands of a clock. So at 4: 20 is has moved a third of the way through this arc. and m = number of minutes. Step 1: Input time in number format. The entire clock measures 360°. Each hour on the clock represents an angle of 30 degrees (360 divided by 12). With this in mind, we can say that each number represents an angle. Well … the hour hand sweeps between the numbers 4 and 5 over an hour. • Angle traced by it in 7 hrs. = 360°. Find the absolute value of their difference. 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