If the area of a circle is 28.26 cm2

, what is the radius of the circle?(1 point)
cm

1 answer

To find the radius of a circle when you know 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 \( A \) is 28.26 cm², you can rearrange the formula to find the radius:

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

Now, substituting the given area:

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

Using \( \pi \approx 3.14 \):

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

Taking the square root of both sides to find \( r \):

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

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