Question

the area of a circle is 0.1256 square miles. what is the circles circumference? round your answer to the nearest hundredth. miles submit work it out not feeling ready yet? these can help: area of circles circumference of circles lesson: area of circles practice in the app open ixl.com

Explanation:

Step1: Find the radius of the circle

The formula for the area of a circle is \(A = \pi r^{2}\). Given \(A=0.1256\) square miles and taking \(\pi = 3.14\).
We have \(0.1256=3.14r^{2}\).
Divide both sides by \(3.14\): \(r^{2}=\frac{0.1256}{3.14}=0.04\).
Take the square - root of both sides: \(r = \sqrt{0.04}=0.2\) miles.

Step2: Calculate the circumference of the circle

The formula for the circumference of a circle is \(C = 2\pi r\).
Substitute \(r = 0.2\) miles and \(\pi = 3.14\) into the formula: \(C=2\times3.14\times0.2\).
\(C = 1.256\approx1.26\) miles.

Answer:

\(1.26\)