Question

what is the area of a circle with a radius of 12 feet? Estimate the area to the hundredths place using 3.14 for pi.

a. 452.2 square feet
b. 75.4 square feet
c. 113.04 square feet
d. 452.16 square feet

Answers

Answered by GPT-4o mini
The area \( A \) of a circle is calculated using the formula:

\[
A = \pi r^2
\]

where \( r \) is the radius.

Given a radius \( r = 12 \) feet and using \( \pi \approx 3.14 \):

\[
A = 3.14 \times (12)^2
\]
\[
= 3.14 \times 144
\]
To compute that:

\[
A = 3.14 \times 144 = 452.16
\]

Thus, the area of the circle is approximately \( 452.16 \) square feet.

The correct answer is:

d. 452.16 square feet
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