Solve pix^2=22*7

$$\pi { x }^{ 2 } =22 \times 7$$

Solve for x

$$x=\sqrt{\frac{154}{\pi }}\approx 7.001408606$$

$$x=-\sqrt{\frac{154}{\pi }}\approx -7.001408606$$

Steps by Finding Square Root

Multiply 22 and 7 to get 154.

$$\pi x^{2}=154$$

Divide both sides by \pi .

$$\frac{\pi x^{2}}{\pi }=\frac{154}{\pi }$$

Dividing by \pi undoes the multiplication by \pi .

$$x^{2}=\frac{154}{\pi }$$

Take the square root of both sides of the equation.

$$x=\frac{154}{\sqrt{154\pi }} x=-\frac{154}{\sqrt{154\pi }}$$

Steps Using the Quadratic Formula

Multiply 22 and 7 to get 154.

$$\pi x^{2}=154$$

Subtract 154 from both sides.

$$\pi x^{2}-154=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute \pi for a, 0 for b, and -154 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\pi \left(-154\right)}}{2\pi }$$

Square 0.

$$x=\frac{0±\sqrt{-4\pi \left(-154\right)}}{2\pi }$$

Multiply -4 times \pi .

$$x=\frac{0±\sqrt{\left(-4\pi \right)\left(-154\right)}}{2\pi }$$

Multiply -4\pi times -154.

$$x=\frac{0±\sqrt{616\pi }}{2\pi }$$

Take the square root of 616\pi .

$$x=\frac{0±2\sqrt{154\pi }}{2\pi }$$

Now solve the equation x=\frac{0±2\sqrt{154\pi }}{2\pi } when ± is plus.

$$x=\frac{154}{\sqrt{154\pi }}$$

Now solve the equation x=\frac{0±2\sqrt{154\pi }}{2\pi } when ± is minus.

$$x=-\frac{154}{\sqrt{154\pi }}$$

The equation is now solved.

$$x=\frac{154}{\sqrt{154\pi }} x=-\frac{154}{\sqrt{154\pi }}$$