Solve 107^circ/360^circ*2*pi*6cm

$$\frac { 107 ^ { \circ } } { 360 ^ { \circ } } \times 2 \times \pi \times 6 cm$$

Evaluate

$$\frac{107\pi cm}{30}$$

Solution Steps

Express \frac{107}{360}\times 2 as a single fraction.

$$\frac{107\times 2}{360}\pi \times 6cm$$

Multiply 107 and 2 to get 214.

$$\frac{214}{360}\pi \times 6cm$$

Reduce the fraction \frac{214}{360} to lowest terms by extracting and canceling out 2.

$$\frac{107}{180}\pi \times 6cm$$

Express \frac{107}{180}\times 6 as a single fraction.

$$\frac{107\times 6}{180}\pi cm$$

Multiply 107 and 6 to get 642.

$$\frac{642}{180}\pi cm$$

Reduce the fraction \frac{642}{180} to lowest terms by extracting and canceling out 6.

$$\frac{107}{30}\pi cm$$