A sector of radius (18) cm has perimeter (48) cm. What is the central angle in degrees?

Question

Answer and explanation

Correct answer: (\frac{120}{\pi}^\circ)

(36+18\theta=48), so (\theta=\frac{2}{3}) radians. In degrees, this is (\frac{2}{3}\times\frac{180}{\pi}=\frac{120}{\pi}^\circ).

What is the correct answer to this question?

(\frac{120}{\pi}^\circ)

Why is this the correct answer?

(36+18\theta=48), so (\theta=\frac{2}{3}) radians. In degrees, this is (\frac{2}{3}\times\frac{180}{\pi}=\frac{120}{\pi}^\circ).

Which subject and chapter does this question cover?

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