Question
The radius of a circle is 13 in. Find its area to the nearest whole number.
Answers
GPT-4o mini
To find the area of a circle, you can use the formula:
\[
A = \pi r^2
\]
where \( A \) is the area and \( r \) is the radius of the circle. In this case, the radius \( r \) is given as 13 inches.
Substituting the value of the radius into the formula:
\[
A = \pi (13)^2
\]
Calculating \( (13)^2 \):
\[
(13)^2 = 169
\]
Now substituting this back into the area formula:
\[
A = \pi \times 169
\]
Using the value of \( \pi \) (approximately 3.14159):
\[
A \approx 3.14159 \times 169
\]
Calculating this:
\[
A \approx 530.14331
\]
Rounding to the nearest whole number, the area of the circle is:
\[
\boxed{530} \text{ square inches.}
\]
\[
A = \pi r^2
\]
where \( A \) is the area and \( r \) is the radius of the circle. In this case, the radius \( r \) is given as 13 inches.
Substituting the value of the radius into the formula:
\[
A = \pi (13)^2
\]
Calculating \( (13)^2 \):
\[
(13)^2 = 169
\]
Now substituting this back into the area formula:
\[
A = \pi \times 169
\]
Using the value of \( \pi \) (approximately 3.14159):
\[
A \approx 3.14159 \times 169
\]
Calculating this:
\[
A \approx 530.14331
\]
Rounding to the nearest whole number, the area of the circle is:
\[
\boxed{530} \text{ square inches.}
\]