Through how many radians does the hour hand rotate in (5) hours (20) minutes?
Answer and explanation
Correct answer: (\frac{8\pi}{9})
(5) hours (20) minutes (=\frac{16}{3}) hours, which is (\frac{4}{9}) of (12) hours. The angle is (\frac{4}{9}\times2\pi=\frac{8\pi}{9}).
Frequently asked questions
What is the correct answer to this question?
(\frac{8\pi}{9})
Why is this the correct answer?
(5) hours (20) minutes (=\frac{16}{3}) hours, which is (\frac{4}{9}) of (12) hours. The angle is (\frac{4}{9}\times2\pi=\frac{8\pi}{9}).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.