Solve piR^2=0

$$\pi R ^ { 2 } = 0$$

Solve for R

$$R=0$$

Steps by Finding Square Root

Divide both sides by \pi .

$$\frac{\pi R^{2}}{\pi }=\frac{0}{\pi }$$

Dividing by \pi undoes the multiplication by \pi .

$$R^{2}=\frac{0}{\pi }$$

Divide 0 by \pi .

$$R^{2}=0$$

Take the square root of both sides of the equation.

$$R=0 R=0$$

The equation is now solved. Solutions are the same.

$$R=0$$

Steps Using the Quadratic Formula

Quadratic equations like this one, with an x^{2} term but no x term, can still be solved using the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, once they are put in standard form: ax^{2}+bx+c=0.

$$\pi R^{2}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute \pi for a, 0 for b, and 0 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$R=\frac{0±\sqrt{0^{2}}}{2\pi }$$

Take the square root of 0^{2}.

$$R=\frac{0±0}{2\pi }$$

Multiply 2 times \pi .

$$R=\frac{0}{2\pi }$$

Divide 0 by 2\pi .

$$R=0$$