If the radius of a circle is (21) cm and the arc is (14\pi) cm, what is the central angle in radians?

Question

Answer and explanation

Correct answer: ( \frac{2\pi}{3} ) radians

( \theta=\frac{s}{r}=\frac{14\pi}{21}=\frac{2\pi}{3} ). Use ( \theta=\frac{s}{r} ) to find the angle from arc length.

What is the correct answer to this question?

( \frac{2\pi}{3} ) radians

Why is this the correct answer?

( \theta=\frac{s}{r}=\frac{14\pi}{21}=\frac{2\pi}{3} ). Use ( \theta=\frac{s}{r} ) to find the angle from arc length.

Which subject and chapter does this question cover?

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