The areas of two sectors with the same radius are in the ratio (5:8). If the smaller sector angle is (75^\circ) what is the larger sector angle in radians?

Question

Answer and explanation

Correct answer: (\frac{2\pi}{3})

For equal radii sector area is proportional to angle. The larger angle is (75^\circ\times\frac{8}{5}=120^\circ=\frac{2\pi}{3}).

What is the correct answer to this question?

(\frac{2\pi}{3})

Why is this the correct answer?

For equal radii sector area is proportional to angle. The larger angle is (75^\circ\times\frac{8}{5}=120^\circ=\frac{2\pi}{3}).

Which subject and chapter does this question cover?

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