Question

1. find the area of a circle with a diameter of 8 inches.

Explanation:

Step1: Find the radius

The radius $r$ of a circle is half of the diameter $d$. Given $d = 8$ inches, so $r=\frac{d}{2}=\frac{8}{2}=4$ inches.

Step2: Use the area formula

The area formula of a circle is $A=\pi r^{2}$. Substitute $r = 4$ into the formula, we get $A=\pi\times4^{2}=16\pi$ square - inches. If we take $\pi\approx3.14$, then $A\approx16\times3.14 = 50.24$ square inches.

Answer:

$16\pi$ square inches (or approximately $50.24$ square inches if $\pi\approx3.14$)