Solve 1000=pir^2/x

$$1000 = \frac { \pi r ^ { 2 } } { x }$$

Solve for x

$$x=\frac{\pi r^{2}}{1000}$$

$$r\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$1000x=\pi r^{2}$$

Divide both sides by 1000.

$$\frac{1000x}{1000}=\frac{\pi r^{2}}{1000}$$

Dividing by 1000 undoes the multiplication by 1000.

$$x=\frac{\pi r^{2}}{1000}$$

Variable x cannot be equal to 0.

$$x=\frac{\pi r^{2}}{1000}\text{, }x\neq 0$$

Solve for r (complex solution)

$$r=-10\sqrt{\frac{10x}{\pi }}$$

$$r=10\sqrt{\frac{10x}{\pi }}\text{, }x\neq 0$$

Solve for r

$$r=10\sqrt{\frac{10x}{\pi }}$$

$$r=-10\sqrt{\frac{10x}{\pi }}\text{, }x>0$$