Question

a circle has an area of $49pi$ in$^{2}$. which of the following is the circu
$28pi$ in
$7pi$ in
$14pi$ in
$3.5pi$ in

Explanation:

Step1: Find the radius of the circle

The area formula of a circle is \(A = \pi r^{2}\). Given \(A=49\pi\), then \(\pi r^{2}=49\pi\). Divide both sides by \(\pi\): \(r^{2}=49\), so \(r = 7\) (since \(r>0\)).

Step2: Calculate the circumference of the circle

The circumference formula of a circle is \(C = 2\pi r\). Substitute \(r = 7\) into the formula: \(C=2\pi\times7=14\pi\).

Answer:

\(14\pi\) in