Question

the radius of a circle is 3 inches. what is the area of a sector bounded by a 90° arc?

Answer 1

Given the figure of a circle with a radius = r = 3 inches

We will find the area of the sector bounded by a 90° arc

The area of the sector will be calculated using the following formula:

$\frac{\theta}{360}*\pi r^2$

Substitute with the given values:

$Area=\frac{90}{360}*\pi *3^2=\frac{90*9}{360}\pi=\frac{9}{4}\pi$

So, the answer will be:

Area of the sector = (9/4)π square inches