Question

If the area of a circle is
28.26
cm
2
28.26 cm2, what is the radius of the circle? (1 point)

Answer 1

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. Given that the area \( A = 28.26 \, \text{cm}^2 \), we can rearrange the formula to solve for \( r \):

\[
r^2 = \frac{A}{\pi}
\]

First, we can substitute the area into the equation:

\[
r^2 = \frac{28.26}{\pi}
\]

Using an approximate value for \( \pi \) (3.14):

\[
r^2 \approx \frac{28.26}{3.14} \approx 9
\]

Now, take the square root of both sides to find \( r \):

\[
r \approx \sqrt{9} = 3 \, \text{cm}
\]

Therefore, the radius of the circle is approximately \( 3 \) cm.