Question

Question
If the area of a circle is 28.26 cm2
, what is the radius of the circle?(1 point)
cm
Skip to navigation

Answer 1

To find the radius of a circle when given the 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 set up the equation:

\[
28.26 = \pi r^2
\]

To isolate \( r^2 \), divide both sides by \( \pi \):

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

Now, use the approximation \( \pi \approx 3.14 \):

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

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

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

So, the radius of the circle is \( 3 \, \text{cm} \).