What is the area of a sector with radius (15) cm and central angle (144^\circ)?

Question

Answer and explanation

Correct answer: (90\pi) square cm

(144^\circ=\frac{4\pi}{5}) and (A=\frac{1}{2}\times225\times\frac{4\pi}{5}=90\pi). In exams, converting degrees into radians is essential.

What is the correct answer to this question?

(90\pi) square cm

Why is this the correct answer?

(144^\circ=\frac{4\pi}{5}) and (A=\frac{1}{2}\times225\times\frac{4\pi}{5}=90\pi). In exams, converting degrees into radians is essential.

Which subject and chapter does this question cover?

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