Set up the equation

Start with the area of a circle formula: $\text{Area} = \pi r^2$. Plug in the given values.

$616 = \frac{22}{7} imes r^2$

Isolate the radius squared

Multiply both sides by 7 and divide by 22 to solve for $r^2$.

$r^2 = \frac{616 imes 7}{22}$

Calculate the value

Perform the division $616 / 22 = 28$. Then multiply by 7 to get $r^2 = 196$.

$r^2 = 28 imes 7 = 196$

Find the radius

Take the square root of 196 to find the radius $r$.

$r = \sqrt{196} = 14 \text{ cm}$