Question

the diameter of a circle is 18 meters. what is the circles area? round your answer to the nearest hundredth. square meters

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of its diameter \( d \). Given \( d = 18 \) meters, so \( r=\frac{d}{2}=\frac{18}{2} = 9 \) meters.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substituting \( r = 9 \) into the formula, we get \( A=\pi\times9^{2}=\pi\times81\approx3.14159\times81 \approx 254.469 \). Rounding to the nearest hundredth, we look at the thousandth place (9), which is greater than or equal to 5, so we round up the hundredth place. So \( A\approx254.47 \).

Answer:

\( 254.47 \)