If the arc length is (\frac{1}{3}) of the circumference then what is the central angle in radians?

Question

Answer and explanation

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

One third of the circumference gives one third of the full angle (2\pi). Hence the central angle is (\frac{2\pi}{3}).

What is the correct answer to this question?

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

Why is this the correct answer?

One third of the circumference gives one third of the full angle (2\pi). Hence the central angle is (\frac{2\pi}{3}).

Which subject and chapter does this question cover?

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