If the sector area is (40\pi) square cm and the central angle is (144^\circ), what will be the radius?

Question

Answer and explanation

Correct answer: (10) cm

(144^\circ=\frac{4\pi}{5}) and (40\pi=\frac{1}{2}r^2\cdot\frac{4\pi}{5}) gives (r=10). Keep the angle in radians in the area formula.

What is the correct answer to this question?

(10) cm

Why is this the correct answer?

(144^\circ=\frac{4\pi}{5}) and (40\pi=\frac{1}{2}r^2\cdot\frac{4\pi}{5}) gives (r=10). Keep the angle 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.