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Subjects

Through how many radians does the hour hand turn from (1:20) to (6:50)?

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Answer and explanation

Correct answer: (\frac{11\pi}{12})

The time difference is (\frac{11}{2}) hours and the hour hand turns (30^\circ) per hour. The total angle is (165^\circ=\frac{11\pi}{12}).

Tags

trigonometric-functionshour-handradian-measure

Frequently asked questions

What is the correct answer to this question?

(\frac{11\pi}{12})

Why is this the correct answer?

The time difference is (\frac{11}{2}) hours and the hour hand turns (30^\circ) per hour. The total angle is (165^\circ=\frac{11\pi}{12}).

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.

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