Solve 287.016=p/frac{pi{4}x(36)^2}

$$287.016 = \frac { p } { \frac { \pi } { 4 } x ( 36 ) ^ { 2 } }$$

Solve for p

$$p=\frac{11624148\pi x}{125}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Calculate 36 to the power of 2 and get 1296.

$$287.016=\frac{p}{\frac{\pi }{4}x\times 1296}$$

Express \frac{\pi }{4}x as a single fraction.

$$287.016=\frac{p}{\frac{\pi x}{4}\times 1296}$$

Cancel out 4, the greatest common factor in 1296 and 4.

$$287.016=\frac{p}{324\pi x}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{p}{324\pi x}=287.016$$

The equation is in standard form.

$$\frac{1}{324\pi x}p=287.016$$

Divide both sides by \frac{1}{324}\pi ^{-1}x^{-1}.

$$\frac{\frac{1}{324\pi x}p\times 324\pi x}{1}=\frac{287.016\times 324\pi x}{1}$$

Dividing by \frac{1}{324}\pi ^{-1}x^{-1} undoes the multiplication by \frac{1}{324}\pi ^{-1}x^{-1}.

$$p=\frac{287.016\times 324\pi x}{1}$$

Divide 287.016 by \frac{1}{324}\pi ^{-1}x^{-1}.

$$p=\frac{11624148\pi x}{125}$$

Solve for x

$$x=\frac{125p}{11624148\pi }$$

$$p\neq 0$$