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:

`(\theta)/(360)*\pi r^2`

Substitute with the given values:

`Area=(90)/(360)*\pi *3^2=(90*9)/(360)\pi=(9)/(4)\pi`

So, the answer will be:

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