Answer
$r=10.2\;ft$.
Work Step by Step
Total area of the fabric $A=324\;ft^2$.
Let the radius of the circular play parachute be $=r$.
Area of the circular play parachute:
$A=\pi r^2$
Substitute all values.
$324\;ft^2=\pi r^2$
Divide both sides by $\pi$.
$\frac{324\;ft^2}{\pi}=\frac{\pi r^2}{\pi}$
Simplify.
$\frac{324\;ft^2}{\pi}= r^2$
Take the square root on both sides.
$\sqrt{\frac{324\;ft^2}{\pi}}=\sqrt{ r^2}$
Simplify.
$10.2\;ft=r$.
