Solve {l}{r=8}{s=2pir}{t=s}{u=t}{v=u}{w=v}{x=w}{y=x}{z=y}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { r = 8 }\\ { s = 2 \pi r }\\ { t = s }\\ { u = t }\\ { v = u }\\ { w = v }\\ { x = w }\\ { y = x }\\ { z = y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Solve for r, s, t, u, v, w, x, y, z, a

$$a=16\pi \approx 50.265482457$$

Solution Steps

Consider the second equation. Insert the known values of variables into the equation.

$$s=2\pi \times 8$$

Multiply 2 and 8 to get 16.

$$s=16\pi$$

Consider the third equation. Insert the known values of variables into the equation.

$$t=16\pi$$

Consider the fourth equation. Insert the known values of variables into the equation.

$$u=16\pi$$

Consider the fifth equation. Insert the known values of variables into the equation.

$$v=16\pi$$

Consider the equation (6). Insert the known values of variables into the equation.

$$w=16\pi$$

Consider the equation (7). Insert the known values of variables into the equation.

$$x=16\pi$$

Consider the equation (8). Insert the known values of variables into the equation.

$$y=16\pi$$

Consider the equation (9). Insert the known values of variables into the equation.

$$z=16\pi$$

Consider the equation (10). Insert the known values of variables into the equation.

$$a=16\pi$$

The system is now solved.

$$r=8 s=16\pi t=16\pi u=16\pi v=16\pi w=16\pi x=16\pi y=16\pi z=16\pi a=16\pi$$