Question

what is the circumference of a circle that has an area of 36 m2?

Explanation:

Step1: Find the radius from the area formula

The area formula of a circle is \(A = \pi r^{2}\). Given \(A = 36\), we have \(36=\pi r^{2}\), then \(r^{2}=\frac{36}{\pi}\), and \(r=\sqrt{\frac{36}{\pi}}=\frac{6}{\sqrt{\pi}}\)

Step2: Calculate the circumference using the radius

The circumference formula of a circle is \(C = 2\pi r\). Substitute \(r = \frac{6}{\sqrt{\pi}}\) into it, \(C=2\pi\times\frac{6}{\sqrt{\pi}}= 12\sqrt{\pi}\approx12\times1.772 = 21.264\)

Answer:

The circumference of the circle is approximately \(21.26\) (rounded to two decimal places)