Question

the diameter of a circle is 62.6 feet. what is the circles area?
round your answer to the nearest hundredth.
square feet

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 62.6 \) feet, so \( r=\frac{d}{2}=\frac{62.6}{2}=31.3 \) feet.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 31.3 \) into the formula: \( A=\pi\times(31.3)^{2}\).
First, calculate \( (31.3)^{2}=31.3\times31.3 = 979.69 \). Then, \( A=\pi\times979.69\).
Taking \( \pi\approx3.14159 \), we have \( A\approx3.14159\times979.69\).
\( A\approx3.14159\times979.69 = 3067.74 \) (rounded to the nearest hundredth).

Answer:

\( 3067.74 \)