Question

The diameter of a circle is 10 ft. Find its area to the nearest whole number.
Answer
Attempt 1 out of 2

A, equalsA=
ft, squared ft
2

Answer 1

To find the area of a circle, you can use the formula:

\[
A = \pi r^2
\]

where \( r \) is the radius of the circle.

Given that the diameter of the circle is 10 ft, you can calculate the radius as follows:

\[
r = \frac{diameter}{2} = \frac{10 \text{ ft}}{2} = 5 \text{ ft}
\]

Now, substitute the radius into the area formula:

\[
A = \pi (5 \text{ ft})^2
\]
\[
A = \pi \cdot 25 \text{ ft}^2
\]
\[
A \approx 3.14 \cdot 25 \text{ ft}^2 \approx 78.5 \text{ ft}^2
\]

Rounding to the nearest whole number:

\[
A \approx 79 \text{ ft}^2
\]

Thus, the area of the circle is approximately \( 79 \) square feet.