Answer:
[tex]A=353\ in^2[/tex]
Step-by-step explanation:
The question is
A window is shaped like a semicircle with a diameter of 30 inches. What is the area of the window? Round to the nearest square inch
we know that
The area of semicircle is equal to
[tex]A=\frac{1}{2}\pi r^{2}[/tex]
we have
[tex]r=30/2=15\ in[/tex] ---> the radius is half the diameter
substitute
[tex]A=\frac{1}{2}\pi (15)^{2}[/tex]
[tex]A=112.5\pi\ in^2[/tex]
assume
[tex]\pi =3.14[/tex]
[tex]A=112.5(3.14)=353,25\ in^2[/tex]
Round to the nearest square inch
[tex]A=353\ in^2[/tex]
