Answer:
[tex]\large\boxed{A=144\pi\ in^2\approx452.16\ in^2}[/tex]
Step-by-step explanation:
A diameter is two times longer than a radius. Therefore, if the diameter
d = 24in, then the radius r = (24in) : 2 = 12in.
The formula of an area of a circle:
[tex]A=\pi r^2[/tex]
Substitute:
[tex]A=\pi(12)^2=144\pi\ in^2[/tex]
[tex]\pi\approx3.14[/tex]
Then
[tex]A\approx(144)(3.14)=452.16\ in^2[/tex]
