Question

question
the area of a circle is 121π cm². what is the circumference, in centimeters? express your answer in terms of π.
answer attempt 1 out of 2
c - cm submit answer

Explanation:

Step1: Find the radius

The area formula of a circle is \(A = \pi r^{2}\). Given \(A=121\pi\), then \(\pi r^{2}=121\pi\). Divide both sides by \(\pi\): \(r^{2}=121\). Take the square root of both sides: \(r = 11\) (since radius \(r>0\)).

Step2: Calculate the circumference

The circumference formula of a circle is \(C = 2\pi r\). Substitute \(r = 11\) into the formula: \(C=2\pi\times11\).

Answer:

\(22\pi\)