Question

the diameter of a circle is 16 centimeters. what is the circles area? round your answer to the nearest hundredth. square centimeters

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of its diameter \( d \). Given \( d = 16 \) cm, so \( r=\frac{d}{2}=\frac{16}{2} = 8 \) cm.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 8 \) into the formula: \( A=\pi\times8^{2}=\pi\times64\approx3.14159\times64 \).
Calculate \( 3.14159\times64 = 201.06176 \). Rounding to the nearest hundredth gives \( 201.06 \).

Answer:

201.06