Question
find the radius of a circle that has an area of 64π ft^2
Answers
GPT-4o mini
To find the radius of a circle given its area, you can use the formula for the area of a circle:
\[
A = \pi r^2
\]
where \( A \) is the area and \( r \) is the radius. Here, the area \( A \) is given as \( 64\pi \) ft².
We can set up the equation:
\[
\pi r^2 = 64\pi
\]
Next, we divide both sides by \( \pi \):
\[
r^2 = 64
\]
Now, take the square root of both sides to find the radius \( r \):
\[
r = \sqrt{64} = 8
\]
Thus, the radius of the circle is \( 8 \) ft.
\[
A = \pi r^2
\]
where \( A \) is the area and \( r \) is the radius. Here, the area \( A \) is given as \( 64\pi \) ft².
We can set up the equation:
\[
\pi r^2 = 64\pi
\]
Next, we divide both sides by \( \pi \):
\[
r^2 = 64
\]
Now, take the square root of both sides to find the radius \( r \):
\[
r = \sqrt{64} = 8
\]
Thus, the radius of the circle is \( 8 \) ft.