Question

question 1 of 10 if a circle has a diameter of 24 inches, which expression gives its area in square inches? a. 24 • π b. 24² • π c. 12 • π d. 12² • π

Explanation:

Step1: Find the radius

The radius $r$ of a circle is half of the diameter $d$. Given $d = 24$ inches, so $r=\frac{d}{2}=\frac{24}{2}=12$ inches.

Step2: Use the area formula

The area formula of a circle is $A=\pi r^{2}$. Substitute $r = 12$ into the formula, we get $A=\pi\times12^{2}$.

Answer:

D. $12^{2}\cdot\pi$