In a circle, a sector of radius (r) subtends an arc of (\frac{5\pi r}{6}). What is its central angle in degrees?

Question

Answer and explanation

Correct answer: (150^\circ)

From (s=r\theta), (\theta=\frac{\frac{5\pi r}{6}}{r}=\frac{5\pi}{6}), which is (150^\circ). In exams, cancel (r) to find the angle.

What is the correct answer to this question?

(150^\circ)

Why is this the correct answer?

From (s=r\theta), (\theta=\frac{\frac{5\pi r}{6}}{r}=\frac{5\pi}{6}), which is (150^\circ). In exams, cancel (r) to find the angle.

Which subject and chapter does this question cover?

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