Question

the radius of a circle is 11 millimeters. what is the circles area?
round your answer to the nearest hundredth.
square millimeters

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 given radius into the formula

Given \(r = 11\) mm. Substitute \(r=11\) into \(A=\pi r^{2}\), we get \(A=\pi\times(11)^{2}\).
First, calculate \((11)^{2}=11\times11 = 121\). So \(A = 121\pi\).

Step3: Calculate the numerical value

Take \(\pi\approx3.14159\). Then \(A=121\times3.14159\).
\(121\times3.14159=(120 + 1)\times3.14159=120\times3.14159+3.14159\)
\(120\times3.14159 = 376.9908\), \(376.9908+3.14159=380.13239\)

Answer:

\(380.13\) square millimeters