The area of a sector is (\frac{3}{4}) of the area of the whole circle. What is the central angle in radians?

Question

Answer and explanation

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

The area ratio is (\frac{\theta}{2\pi}). From (\frac{\theta}{2\pi}=\frac{3}{4}) we get (\theta=\frac{3\pi}{2}).

What is the correct answer to this question?

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

Why is this the correct answer?

The area ratio is (\frac{\theta}{2\pi}). From (\frac{\theta}{2\pi}=\frac{3}{4}) we get (\theta=\frac{3\pi}{2}).

Which subject and chapter does this question cover?

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