Through how many radians does the hour hand of a clock rotate in (2) hours (40) minutes?
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Answer and explanation
Correct answer: (\frac{4\pi}{9})
The hour hand rotates (2\pi) in (12) hours, and (2) hours (40) minutes (=\frac{8}{3}) hours. The angle is (\frac{8}{3}\times\frac{\pi}{6}=\frac{4\pi}{9}).
Frequently asked questions
What is the correct answer to this question?
(\frac{4\pi}{9})
Why is this the correct answer?
The hour hand rotates (2\pi) in (12) hours, and (2) hours (40) minutes (=\frac{8}{3}) hours. The angle is (\frac{8}{3}\times\frac{\pi}{6}=\frac{4\pi}{9}).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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