Solve θ/360pi10^2=94.5cm^2

$$\frac{ \theta }{ 360 } \pi { 10 }^{ 2 } = 94.5c { m }^{ 2 }$$

Solve for c (complex solution)

$$\left\{\begin{matrix}c=\frac{5\pi \theta }{1701m^{2}}\text{, }&m\neq 0\\c\in \mathrm{C}\text{, }&\theta =0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 360.

$$\theta \pi \times 10^{2}=34020cm^{2}$$

Calculate 10 to the power of 2 and get 100.

$$\theta \pi \times 100=34020cm^{2}$$

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

$$34020cm^{2}=\theta \pi \times 100$$

The equation is in standard form.

$$34020m^{2}c=100\pi \theta$$

Divide both sides by 34020m^{2}.

$$\frac{34020m^{2}c}{34020m^{2}}=\frac{100\pi \theta }{34020m^{2}}$$

Dividing by 34020m^{2} undoes the multiplication by 34020m^{2}.

$$c=\frac{100\pi \theta }{34020m^{2}}$$

Divide 100\theta \pi by 34020m^{2}.

$$c=\frac{5\pi \theta }{1701m^{2}}$$

Solve for c

$$\left\{\begin{matrix}c=\frac{5\pi \theta }{1701m^{2}}\text{, }&m\neq 0\\c\in \mathrm{R}\text{, }&\theta =0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 360.

$$\theta \pi \times 10^{2}=34020cm^{2}$$

Calculate 10 to the power of 2 and get 100.

$$\theta \pi \times 100=34020cm^{2}$$

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

$$34020cm^{2}=\theta \pi \times 100$$

The equation is in standard form.

$$34020m^{2}c=100\pi \theta$$

Divide both sides by 34020m^{2}.

$$\frac{34020m^{2}c}{34020m^{2}}=\frac{100\pi \theta }{34020m^{2}}$$

Dividing by 34020m^{2} undoes the multiplication by 34020m^{2}.

$$c=\frac{100\pi \theta }{34020m^{2}}$$

Divide 100\theta \pi by 34020m^{2}.

$$c=\frac{5\pi \theta }{1701m^{2}}$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=-\frac{c^{-0.5}\sqrt{105\pi \theta }}{189}\text{; }m=\frac{c^{-0.5}\sqrt{105\pi \theta }}{189}\text{, }&c\neq 0\\m\in \mathrm{C}\text{, }&\theta =0\text{ and }c=0\end{matrix}\right.$$

Solve for m

$$\left\{\begin{matrix}m=\frac{\sqrt{\frac{105\pi \theta }{c}}}{189}\text{; }m=-\frac{\sqrt{\frac{105\pi \theta }{c}}}{189}\text{, }&\left(\theta \geq 0\text{ and }c>0\right)\text{ or }\left(\theta \leq 0\text{ and }c<0\right)\\m\in \mathrm{R}\text{, }&\theta =0\text{ and }c=0\end{matrix}\right.$$