Solve θ/360*pir^2=30.8

$$\frac { \theta } { 360 } \times \pi r ^ { 2 } = 30.8$$

Solve for θ

$$\theta =\frac{11088}{\pi r^{2}}$$

$$r\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 360.

$$\theta \pi r^{2}=11088$$

The equation is in standard form.

$$\pi r^{2}\theta =11088$$

Divide both sides by \pi r^{2}.

$$\frac{\pi r^{2}\theta }{\pi r^{2}}=\frac{11088}{\pi r^{2}}$$

Dividing by \pi r^{2} undoes the multiplication by \pi r^{2}.

$$\theta =\frac{11088}{\pi r^{2}}$$

Solve for r

$$r=12\sqrt{\frac{77}{\pi \theta }}$$

$$r=-12\sqrt{\frac{77}{\pi \theta }}\text{, }\theta >0$$