A sector of radius (10) cm has area (75\pi) square cm. What is the central angle in degrees?

Question

Answer and explanation

Correct answer: (270^\circ)

(75\pi=\frac{1}{2}\times100\times\theta), so (\theta=\frac{3\pi}{2}=270^\circ). In exams, (\theta) is in radians in the area formula.

What is the correct answer to this question?

(270^\circ)

Why is this the correct answer?

(75\pi=\frac{1}{2}\times100\times\theta), so (\theta=\frac{3\pi}{2}=270^\circ). In exams, (\theta) is in radians in the area formula.

Which subject and chapter does this question cover?

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