Solve 2pir(105/360)=7pi

$$2 \pi r ( \frac { 105 } { 360 } ) = 7 \pi$$

Solve for r

$$r=12$$

Steps for Solving Linear Equation

Cancel out \pi on both sides.

$$2r\times \frac{105}{360}=7$$

Reduce the fraction \frac{105}{360} to lowest terms by extracting and canceling out 15.

$$2r\times \frac{7}{24}=7$$

Express 2\times \frac{7}{24} as a single fraction.

$$\frac{2\times 7}{24}r=7$$

Multiply 2 and 7 to get 14.

$$\frac{14}{24}r=7$$

Reduce the fraction \frac{14}{24} to lowest terms by extracting and canceling out 2.

$$\frac{7}{12}r=7$$

Multiply both sides by \frac{12}{7}, the reciprocal of \frac{7}{12}.

$$r=7\times \frac{12}{7}$$

Cancel out 7 and 7.

$$r=12$$