Solve {l}{r=8}{s=2pir}{t=s}{u=t}{v=u}{text{Solvefor}wtext{where}}{w=v}

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

Solve for r, s, t, u, v, w

$$w=16\pi \approx 50.265482457$$

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.

$$w=16\pi$$

The system is now solved.

$$r=8 s=16\pi t=16\pi u=16\pi v=16\pi w=16\pi$$