To find the radius of a circle given the 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 \( A = 28.26 \) square cm, we can set up the equation:
\[ 28.26 = \pi r^2 \]
To isolate \( r^2 \), we can rearrange the equation:
\[ r^2 = \frac{28.26}{\pi} \]
Using the approximate value of \( \pi \approx 3.14 \):
\[ r^2 = \frac{28.26}{3.14} \approx 9 \]
Now, we take the square root of both sides to find \( r \):
\[ r = \sqrt{9} = 3 \text{ cm} \]
Thus, the radius of the circle is \( \boxed{3} \) cm.