Through how many radians does the minute hand of a clock turn in (18) minutes?
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Answer and explanation
Correct answer: ( \frac{3\pi}{5} ) radians
The minute hand turns (2\pi) in (60) minutes, so in (18) minutes it turns ( \frac{18}{60}\cdot2\pi=\frac{3\pi}{5} ). Use the time fraction of one full revolution.
Frequently asked questions
What is the correct answer to this question?
( \frac{3\pi}{5} ) radians
Why is this the correct answer?
The minute hand turns (2\pi) in (60) minutes, so in (18) minutes it turns ( \frac{18}{60}\cdot2\pi=\frac{3\pi}{5} ). Use the time fraction of one full revolution.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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