Solve 200/360*2pi*r=45

$$\frac { 200 } { 360 } \times 2 \pi \times r = 45$$

Solve for r

$$r = \frac{81}{2 \pi} \approx 12.89155039$$

Steps for Solving Linear Equation

Reduce the fraction \frac{200}{360} to lowest terms by extracting and canceling out 40.

$$\frac{5}{9}\times 2\pi r=45$$

Express \frac{5}{9}\times 2 as a single fraction.

$$\frac{5\times 2}{9}\pi r=45$$

Multiply 5 and 2 to get 10.

$$\frac{10}{9}\pi r=45$$

The equation is in standard form.

$$\frac{10\pi }{9}r=45$$

Divide both sides by \frac{10}{9}\pi .

$$\frac{9\times \frac{10\pi }{9}r}{10\pi }=\frac{9\times 45}{10\pi }$$

Dividing by \frac{10}{9}\pi undoes the multiplication by \frac{10}{9}\pi .

$$r=\frac{9\times 45}{10\pi }$$

Divide 45 by \frac{10}{9}\pi .

$$r=\frac{81}{2\pi }$$