Question

1. find the exact circumference of the circle. then use the approximation 3.14 for π and approximate the circumference.

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference of a circle is \(C = 2\pi r\) (where \(r\) is the radius). Given \(r = 9\) miles.

Step2: Calculate the exact circumference

Substitute \(r = 9\) into \(C = 2\pi r\).
\(C=2\pi\times9 = 18\pi\) miles.

Step3: Calculate the approximate circumference

Use \(\pi\approx3.14\). Substitute into \(C = 18\pi\).
\(C\approx18\times3.14= 56.52\) miles.

Answer:

The exact circumference is \(18\pi\) miles and the approximate circumference is \(56.52\) miles.