How To Find The Angle Of Clock Hands
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360o total60 minutes total=6 degrees per minute
The minute hand on the clock will point at 15 minutes, allowing us to calculate it's position on the circle.
(15 min)(6)=90o
Since there are 12 hours on the clock, each hour mark is 30 degrees.
360o total12 hours total=30 degrees per hour
We can calculate where the hour hand will be at 8:00.
(8 hr)(30)=240o
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. 15 minutes is equal to one-fourth of an hour. Use the same equation to find the additional position of the hour hand.
240o+(14 hr)(30)
240o+7.5o
247.5o
We are looking for the angle between the two hands of the clock. The will be equal to the difference between the two angle measures.
∠=247.5o−90o=157.5o
https://www.varsitytutors.com/sat_math-help/how-to-find-the-angle-of-clock-hands
How To Find The Angle Of Clock Hands
Explanation:
A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees.The minute hand on the clock will point at 15 minutes, allowing us to calculate it's position on the circle.
Since there are 12 hours on the clock, each hour mark is 30 degrees.
We can calculate where the hour hand will be at 8:00.
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. 15 minutes is equal to one-fourth of an hour. Use the same equation to find the additional position of the hour hand.
We are looking for the angle between the two hands of the clock. The will be equal to the difference between the two angle measures.
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