Question

the radius of a circle is 20.1 millimeters. what is the circles area? round your answer to the nearest hundredth. square millimeters

Explanation:

Step1: Recall the formula for the area of a circle

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

Step2: Substitute the given radius into the formula

Given that the radius \( r = 20.1 \) millimeters. Substitute \( r = 20.1 \) into the formula: \( A=\pi\times(20.1)^{2} \).
First, calculate \( (20.1)^{2}=20.1\times20.1 = 404.01 \).
Then, \( A=\pi\times404.01\approx3.14159\times404.01 \).

Step3: Calculate the approximate value

\( 3.14159\times404.01\approx1268.60 \) (rounded to the nearest hundredth).

Answer:

\( 1268.60 \)