Question

question 2 of 10 if a circle has a diameter of 30 meters, which expression gives its area in square meters? a. 15·π b. 30·π c. 30²·π d. 15²·π

Explanation:

Step1: Find the radius

The radius $r$ of a circle is half of the diameter $d$. Given $d = 30$ meters, so $r=\frac{d}{2}=\frac{30}{2}=15$ meters.

Step2: Use the area formula

The area formula of a circle is $A=\pi r^{2}$. Substitute $r = 15$ into the formula, we get $A = 15^{2}\cdot\pi$.

Answer:

D. $15^{2}\cdot\pi$