Explanation:
The area of a circle with radius r is:
[tex]A_{\text{circle}}=\pi\cdot r^2[/tex]The area of a semicircle is half the area of a cricle:
[tex]A_{\text{semicircle}}=\frac{A_{\text{circle}}}{2}=\frac{\pi}{2}\cdot r^2[/tex]This semicircle has a radius of 12in, the area is:
[tex]A=\frac{\pi}{2}\cdot12^2in^2=\frac{\pi\cdot144}{2}in^2=72\pi in^2=226.19467in^2[/tex]Answer:
The area of the semicircle is 226.2 in²
