Question

9.
7.1 mi
area =
circumference =
10

Explanation:

Step1: Recall formulas for circle

The formula for the area of a circle is \( A=\pi r^{2} \) and the formula for the circumference is \( C = 2\pi r \), where \( r \) is the radius. Here, \( r=7.1\) mi.

Step2: Calculate the area

Substitute \( r = 7.1\) into the area formula: \( A=\pi\times(7.1)^{2}\). Calculate \( 7.1^{2}=50.41 \), so \( A=\pi\times50.41\approx3.14\times50.41 = 158.2874\) square miles.

Step3: Calculate the circumference

Substitute \( r = 7.1\) into the circumference formula: \( C=2\times\pi\times7.1\approx2\times3.14\times7.1 = 44.608\) miles.

Answer:

Area: \(\approx158.29\) square miles, Circumference: \(\approx44.61\) miles (or using more precise \(\pi\) value, the results will vary slightly)