Solve 240/360*2pi*18

$$\frac{ 240 }{ 360 } \times 2 \pi \times 18$$

Evaluate

$$24\pi \approx 75.398223686$$

Solution Steps

Reduce the fraction \frac{240}{360} to lowest terms by extracting and canceling out 120.

$$\frac{2}{3}\times 2\pi \times 18$$

Express \frac{2}{3}\times 2 as a single fraction.

$$\frac{2\times 2}{3}\pi \times 18$$

Multiply 2 and 2 to get 4.

$$\frac{4}{3}\pi \times 18$$

Express \frac{4}{3}\times 18 as a single fraction.

$$\frac{4\times 18}{3}\pi$$

Multiply 4 and 18 to get 72.

$$\frac{72}{3}\pi$$

Divide 72 by 3 to get 24.

$$24\pi$$