Question

Find the area of a semi-circle with a radius of 12in. Round to the nearest tenth

Answer 1

Step-by-step explanation:

The area of a circle with radius r is:

`A_{\text{circle}}=\pi\cdot r^2`

The area of a semicircle is half the area of a cricle:

`A_{\text{semicircle}}=\frac{A_{\text{circle}}}{2}=(\pi)/(2)\cdot r^2`

This semicircle has a radius of 12in, the area is:

`A=(\pi)/(2)\cdot12^2in^2=(\pi\cdot144)/(2)in^2=72\pi in^2=226.19467in^2`

Answer:

The area of the semicircle is 226.2 in²