Question

the radius of a circle is 12 yards. what is the circles area? round your answer to the nearest hundredth. square yards

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area \( A \) of a circle is \( A = \pi r^2 \), where \( r \) is the radius of the circle.

Step2: Substitute the given radius into the formula

We are given that the radius \( r = 12 \) yards. Substituting \( r = 12 \) into the formula, we get \( A=\pi\times(12)^2 \).

Step3: Calculate the value

First, calculate \( 12^2 = 144 \). Then, multiply by \( \pi \). Using \( \pi\approx3.14159 \), we have \( A = 3.14159\times144 \approx 452.389344 \).

Step4: Round to the nearest hundredth

Rounding \( 452.389344 \) to the nearest hundredth gives \( 452.39 \).

Answer:

\( 452.39 \)