Question

A circle with radius 3 has a sector with a central angle of 1/9 pi radians

Answer 1

The area of sector is 1.57 m²

Explanation:

Given:

Radius, r = 3 m

Central angle of a sector = 1/9π radians

Area of sector, A = ?

We know:

Area of sector, A = $\frac{1}{2} r^2 \alpha$

where,

α is the central angle in radians

On substituting the value we get:

$A = \frac{1}{2} X(3)^2 X \frac{1}{9}X 3.14\\ \\A = 1.57 m^2$

Therefore, the area of sector is 1.57 m²