To find the radius of a circle given its circumference, you can use the formula for the circumference of a circle:
\[ C = 2\pi r \]
where \( C \) is the circumference and \( r \) is the radius. Given that the circumference \( C \) is 50.24 cm, you can rearrange the formula to solve for the radius:
\[ r = \frac{C}{2\pi} \]
Now, substitute the value of the circumference into the equation:
\[ r = \frac{50.24}{2\pi} \]
Calculating this gives:
\[ r \approx \frac{50.24}{6.2832} \]
Now, perform the division:
\[ r \approx 8.00 \text{ cm} \]
Therefore, the radius of the circle is approximately \( 8.00 \) cm.