Question

the radius of a circle is 18 millimeters. what is the circles area?
round your answer to the nearest hundredth.

square millimeters
submit

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 \(r = 18\) millimeters. Substitute \(r = 18\) into \(A=\pi r^{2}\), we get \(A=\pi\times(18)^{2}\).
First, calculate \((18)^{2}=18\times18 = 324\). So \(A = 324\pi\).

Step3: Calculate the numerical value

Take \(\pi\approx3.14159265\). Then \(A=324\times3.14159265\).
\(324\times3.14159265=(300 + 24)\times3.14159265=300\times3.14159265+24\times3.14159265\)
\(300\times3.14159265 = 942.477795\), \(24\times3.14159265=75.3982236\)
\(A=942.477795+75.3982236=1017.8760186\)

Step4: Round to the nearest hundredth

Rounding \(1017.8760186\) to the nearest hundredth (two - decimal places). The third decimal digit is \(6\), so we round up the second decimal digit.

Answer:

\(1017.88\) square millimeters