Question

the radius of a circle is 22 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 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 \(r = 22\) millimeters. So \(A=\pi\times(22)^{2}\). First, calculate \(22^{2}=22\times22 = 484\). Then \(A = 484\pi\).

Step3: Calculate the numerical value

Taking \(\pi\approx3.14159265\), we have \(A=484\times3.14159265\).
\(484\times3.14159265=(500 - 16)\times3.14159265=500\times3.14159265-16\times3.14159265\)
\(500\times3.14159265 = 1570.796325\), \(16\times3.14159265=50.2654824\)
\(A=1570.796325- 50.2654824=1520.5308426\)

Answer:

\(1520.53\) square millimeters