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:
[tex]\frac{\theta}{360}*\pi r^2[/tex]
Substitute with the given values:
[tex]Area=\frac{90}{360}*\pi *3^2=\frac{90*9}{360}\pi=\frac{9}{4}\pi[/tex]
So, the answer will be:
Area of the sector = (9/4)π square inches
