Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the radius of a circle is 8 miles. what is the circles area? round your…

Question

the radius of a circle is 8 miles. what is the circles area? round your answer to the nearest hundredth. square miles

Explanation:

Step1: Write the formula for the area of a circle

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

Step2: Substitute the value of the radius into the formula

Given \(r = 8\) miles. Substitute \(r=8\) into \(A=\pi r^{2}\), we get \(A=\pi\times(8)^{2}\).

Step3: Calculate the value

First, \(8^{2}=64\). Then \(A = 64\pi\). Using \(\pi\approx3.1415926\), \(A=64\times3.1415926 = 201.0619\)

Answer:

\(201.06\)