Question

the area of a circle is 1.1304 square kilometers. what is the circles circumference? round your answer to the nearest hundredth. kilometers submit next up done for now? try these next: circles: word problems area and perimeter of semicircles and quart... practice in the app open ixl.com

Explanation:

Step1: Find the radius from the area formula

The area formula of a circle is \(A = \pi r^{2}\). Given \(A=1.1304\), and taking \(\pi = 3.14\). Then \(r^{2}=\frac{A}{\pi}=\frac{1.1304}{3.14} = 0.36\). So \(r=\sqrt{0.36}=0.6\) (since \(r>0\)).

Step2: Calculate the circumference

The circumference formula of a circle is \(C = 2\pi r\). Substitute \(r = 0.6\) and \(\pi=3.14\) into the formula. \(C=2\times3.14\times0.6=3.768\approx3.77\)

Answer:

\(3.77\)