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 = [tex]\frac{1}{2} r^2 \alpha[/tex]
where,
α is the central angle in radians
On substituting the value we get:
[tex]A = \frac{1}{2} X(3)^2 X \frac{1}{9}X 3.14\\ \\A = 1.57 m^2[/tex]
Therefore, the area of sector is 1.57 m²