Through how many radians does the hour hand of a clock rotate in (5) hours (36) minutes?
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Answer and explanation
Correct answer: (\frac{14\pi}{15})
(5) hours (36) minutes (=\frac{28}{5}) hours and the hour hand rate is (\frac{\pi}{6}) radians per hour. Hence the angle is (\frac{28}{5}\times\frac{\pi}{6}=\frac{14\pi}{15}).
Frequently asked questions
What is the correct answer to this question?
(\frac{14\pi}{15})
Why is this the correct answer?
(5) hours (36) minutes (=\frac{28}{5}) hours and the hour hand rate is (\frac{\pi}{6}) radians per hour. Hence the angle is (\frac{28}{5}\times\frac{\pi}{6}=\frac{14\pi}{15}).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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