Solve A=piR^2*(72/360)

$$A = \pi R ^ { 2 } \cdot ( \frac { 72 } { 360 } )$$

Solve for A

$$A=\frac{\pi R^{2}}{5}$$

Solution Steps

Reduce the fraction \frac{72}{360} to lowest terms by extracting and canceling out 72.

$$A=\pi R^{2}\times \frac{1}{5}$$

Solve for R (complex solution)

$$R=-\sqrt{\frac{5A}{\pi }}$$

$$R=\sqrt{\frac{5A}{\pi }}$$

Solve for R

$$R=\sqrt{\frac{5A}{\pi }}$$

$$R=-\sqrt{\frac{5A}{\pi }}\text{, }A\geq 0$$