Solve 60^circ/360^circ*2pi*2+60^circ/360^circ*2pi*5

$$\frac{ 60 ^ { \circ } }{ 360 ^ { \circ } } \times 2 \pi \times 2+ \frac{ 60 ^ { \circ } }{ 360 ^ { \circ } } \times 2 \pi \times 5$$

Evaluate

$$\frac{7\pi }{3}\approx 7.330382858$$

Solution Steps

Reduce the fraction \frac{60}{360} to lowest terms by extracting and canceling out 60.

$$\frac{1}{6}\times 2\pi \times 2+\frac{60}{360}\times 2\pi \times 5$$

Multiply \frac{1}{6} and 2 to get \frac{2}{6}.

$$\frac{2}{6}\pi \times 2+\frac{60}{360}\times 2\pi \times 5$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}\pi \times 2+\frac{60}{360}\times 2\pi \times 5$$

Multiply \frac{1}{3} and 2 to get \frac{2}{3}.

$$\frac{2}{3}\pi +\frac{60}{360}\times 2\pi \times 5$$

Reduce the fraction \frac{60}{360} to lowest terms by extracting and canceling out 60.

$$\frac{2}{3}\pi +\frac{1}{6}\times 2\pi \times 5$$

Multiply \frac{1}{6} and 2 to get \frac{2}{6}.

$$\frac{2}{3}\pi +\frac{2}{6}\pi \times 5$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}\pi +\frac{1}{3}\pi \times 5$$

Multiply \frac{1}{3} and 5 to get \frac{5}{3}.

$$\frac{2}{3}\pi +\frac{5}{3}\pi$$

Combine \frac{2}{3}\pi and \frac{5}{3}\pi to get \frac{7}{3}\pi .

$$\frac{7}{3}\pi$$