Question

the diameter of a circle is 32 millimeters. what is the circles area? round your answer to the nearest hundredth. square millimeters submit

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of its diameter \( d \). Given \( d = 32 \) mm, so \( r=\frac{d}{2}=\frac{32}{2} = 16 \) mm.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 16 \) into the formula: \( A=\pi\times16^{2}=\pi\times256\approx3.14159\times256 \). Calculate \( 3.14159\times256 = 804.24704 \).

Step3: Round to nearest hundredth

Rounding \( 804.24704 \) to the nearest hundredth gives \( 804.25 \).

Answer:

804.25