Question

The radius of a circle is 4 feet. What is the area of a sector bounded by a 180° arc?Give the exact answer in simplest form. ____ square feet.

Answer 1

The area of asemicircle is:

`A=(\pi\cdot r^2)/(2)`
`A=(\pi\cdot4^2)/(2)=(\pi\cdot16)/(2)=\pi\cdot(8)/(1)=8\cdot\pi\text{ ft}^2`

Therefore, the area of the semicircle in 8*pi ft^2