Question

the radius of a circle is 34.9 centimeters. what is the circles area?
round your answer to the nearest hundredth.
square centimeters

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.

Step2: Substitute the given radius into the formula

Given \(r = 34.9\) cm, we substitute into the formula: \(A=\pi\times(34.9)^{2}\).
First, calculate \((34.9)^{2}=34.9\times34.9 = 1218.01\).
Then, \(A=\pi\times1218.01\).
Taking \(\pi\approx3.14159\), we have \(A\approx3.14159\times1218.01\).
\(A\approx3.14159\times1218.01 = 3826.39\) (rounded to the nearest hundredth).

Answer:

\(3826.39\)