Question

the diameter of a circle is 44 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 \( d = 44 \) feet, so \( r=\frac{d}{2}=\frac{44}{2}=22 \) feet.

Step2: Use the area formula

The area formula of a circle is \( A=\pi r^{2} \). Substitute \( r = 22 \) into the formula: \( A=\pi\times(22)^{2} \).
First calculate \( 22^{2}=484 \), then \( A = 484\pi \).
Taking \( \pi\approx3.14159 \), we have \( A\approx484\times3.14159 \).
\( 484\times3.14159=(500 - 16)\times3.14159=500\times3.14159-16\times3.14159 \).
\( 500\times3.14159 = 1570.795 \), \( 16\times3.14159=50.26544 \).
\( A\approx1570.795-50.26544 = 1520.52956\approx1520.53 \)

Answer:

\( 1520.53 \)