Question

the area of a circle is 28.26 square centimeters. what is the circles circumference? round your answer to the nearest hundredth. centimeters

Explanation:

Step1: Find the radius

The formula for the area of a circle is \(A = \pi r^{2}\). Given \(A = 28.26\) and \(\pi\approx3.14\), we have \(28.26=3.14r^{2}\). Then \(r^{2}=\frac{28.26}{3.14} = 9\), so \(r = 3\) (since \(r>0\)).

Step2: Calculate the circumference

The formula for the circumference of a circle is \(C = 2\pi r\). Substitute \(r = 3\) and \(\pi\approx3.14\) into the formula: \(C=2\times3.14\times3=18.84\).

Answer:

\(18.84\)