Question

the radius of a circle is 6 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 \(r = 6\) mm, substitute into the formula: \(A=\pi\times(6)^{2}\).
First, calculate \(6^{2}=36\). So \(A = 36\pi\).

Step3: Calculate the numerical value

Using \(\pi\approx3.14159\), then \(A=36\times3.14159 = 113.09724\).

Step4: Round to the nearest hundredth

Rounding \(113.09724\) to the nearest hundredth (two - decimal places). The third decimal digit is \(7\), so we round up the second decimal digit. \(113.09724\approx113.10\).

Answer:

\(113.10\)