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,
- \( r \) is the radius,
- \( \pi \) is approximately 3.14.
Given that the area \( A = 50.24 , \text{sq cm} \), we can rearrange the formula to solve for \( r \):
\[ r^2 = \frac{A}{\pi} \]
Substituting the given values:
\[ r^2 = \frac{50.24}{3.14} \]
Calculating the right-hand side:
\[ r^2 \approx \frac{50.24}{3.14} \approx 16.0 \]
Now, take the square root of both sides to find \( r \):
\[ r \approx \sqrt{16.0} \approx 4.0 , \text{cm} \]
Thus, the radius of the circle is approximately \( 4.0 , \text{cm} \).