Question

the diameter of a circle is 8 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 its diameter \( d \). Given \( d = 8 \) millimeters, so \( r=\frac{d}{2}=\frac{8}{2} = 4 \) millimeters.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substituting \( r = 4 \) into the formula, we get \( A=\pi\times4^{2}=\pi\times16\approx3.14159\times16 = 50.26544 \). Rounding to the nearest hundredth, we get \( 50.27 \).

Answer:

\( 50.27 \)