Question

the diameter of a circle is 12 feet. what is the area?give the exact answer in simplest form.

Answer 1

The area of a circle (A) with radius "r" is:

$A=\pi\cdot r^2$

To solve this question, follow the steps below.

Step 01: Find r.

The radius is half the measure of the diameter.

$r=\frac{D}{2}$

Given D = 12 feet, then:

$\begin{gathered} r=\frac{12}{2} \\ r=6 \end{gathered}$

Step 02: Find A.

Use r = 6 feet to find A.

$\begin{gathered} A=\pi\cdot6^2 \\ A=36\pi \end{gathered}$

Answer: The area is 36π square feet.