Question
Find the radius of a circle with an area of 615.75 inches squared? (Round your answer to the nearest whole number
Answers
GPT-4o mini
To find the radius of a circle given its area, we can use the formula for the area of a circle:
\[
A = \pi r^2
\]
where \( A \) is the area and \( r \) is the radius.
Given that the area \( A = 615.75 \) square inches, we can rearrange the formula to solve for the radius \( r \):
\[
r^2 = \frac{A}{\pi}
\]
Substituting the area into the equation:
\[
r^2 = \frac{615.75}{\pi}
\]
Using \( \pi \approx 3.14159 \):
\[
r^2 = \frac{615.75}{3.14159} \approx 196.0
\]
Now we calculate \( r \) by taking the square root of both sides:
\[
r = \sqrt{196.0} \approx 14.0
\]
Thus, rounding to the nearest whole number, the radius of the circle is:
\[
\boxed{14} \text{ inches}
\]
\[
A = \pi r^2
\]
where \( A \) is the area and \( r \) is the radius.
Given that the area \( A = 615.75 \) square inches, we can rearrange the formula to solve for the radius \( r \):
\[
r^2 = \frac{A}{\pi}
\]
Substituting the area into the equation:
\[
r^2 = \frac{615.75}{\pi}
\]
Using \( \pi \approx 3.14159 \):
\[
r^2 = \frac{615.75}{3.14159} \approx 196.0
\]
Now we calculate \( r \) by taking the square root of both sides:
\[
r = \sqrt{196.0} \approx 14.0
\]
Thus, rounding to the nearest whole number, the radius of the circle is:
\[
\boxed{14} \text{ inches}
\]