Question

use the information to answer the question. the area of a circle is 144π m². what is the diameter of the circle? a. 6 m b. 12 m c. 24 m d. 144 m

Explanation:

Step1: Recall area formula

The area formula of a circle is $A = \pi r^{2}$, where $A$ is the area and $r$ is the radius. Given $A = 144\pi$. So, $\pi r^{2}=144\pi$.

Step2: Solve for radius

Divide both sides of the equation $\pi r^{2}=144\pi$ by $\pi$. We get $r^{2}=144$. Taking the square - root of both sides, $r = 12$ (we consider the positive value since radius is non - negative).

Step3: Find the diameter

The diameter $d$ of a circle is related to the radius by $d = 2r$. Substituting $r = 12$ into the formula, we have $d=2\times12 = 24$ m.

Answer:

C. 24 m