For a sector of radius (12) cm the perimeter and area are numerically equal. What is the central angle?

Question

Answer and explanation

Correct answer: (\frac{2}{5})

The perimeter is (24+12\theta) and the area is (72\theta). From (24+12\theta=72\theta) we get (\theta=\frac{2}{5}).

What is the correct answer to this question?

(\frac{2}{5})

Why is this the correct answer?

The perimeter is (24+12\theta) and the area is (72\theta). From (24+12\theta=72\theta) we get (\theta=\frac{2}{5}).

Which subject and chapter does this question cover?

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