Question

the circumference of a circle is 7.536 miles. what is the circles area? round your answer to the nearest hundredth. square miles

Explanation:

Step1: Find the radius from the circumference

The formula for the circumference of a circle is \(C = 2\pi r\). Given \(C=7.536\) miles, we solve for \(r\):

$$r=\frac{C}{2\pi}=\frac{7.536}{2\times3.14}=\frac{7.536}{6.28} = 1.2$$

Step2: Calculate the area of the circle

The formula for the area of a circle is \(A=\pi r^{2}\). Substitute \(r = 1.2\) into the formula:

$$A=3.14\times(1.2)^{2}=3.14\times1.44 = 4.5216\approx4.52$$

Answer:

\(4.52\)