Question

the diameter of a circle is 4 millimeters. what is the circles area? round your answer to the nearest hundredth. square millimeters

Explanation:

Step1: Find the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 4\) mm, so \(r=\frac{d}{2}=\frac{4}{2}=2\) mm.

Step2: Calculate the area

The formula for the area \(A\) of a circle is \(A=\pi r^{2}\). Substitute \(r = 2\) into the formula: \(A=\pi\times(2)^{2}=\pi\times4\). Using \(\pi\approx3.14159\), then \(A\approx3.14159\times4 = 12.56636\).

Step3: Round to the nearest hundredth

Rounding \(12.56636\) to the nearest hundredth (two - decimal places). The third decimal digit is \(6\), so we round up the second decimal digit. \(12.56636\approx12.57\).

Answer:

\(12.57\)