Solve 2pir=alpha/360^circ2pil

$$2 \pi r = \frac { \alpha } { 360 ^ { \circ } } 2 \pi l$$

Solve for r

$$r=\frac{l\alpha }{360}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$2\pi r=\frac{\pi l\alpha }{180}$$

Divide both sides by 2\pi .

$$\frac{2\pi r}{2\pi }=\frac{\pi l\alpha }{180\times 2\pi }$$

Dividing by 2\pi undoes the multiplication by 2\pi .

$$r=\frac{\pi l\alpha }{180\times 2\pi }$$

Divide \frac{\alpha \pi l}{180} by 2\pi .

$$r=\frac{l\alpha }{360}$$

Solve for l

$$\left\{\begin{matrix}l=\frac{360r}{\alpha }\text{, }&\alpha \neq 0\\l\in \mathrm{R}\text{, }&r=0\text{ and }\alpha =0\end{matrix}\right.$$