Solve 0.25pi/2pi*8000

$$\frac { 0.25 \pi } { 2 \pi } \times 8000$$

Evaluate

$$1000$$

Solution Steps

Cancel out \pi in both numerator and denominator.

$$\frac{0.25}{2}\times 8000$$

Expand \frac{0.25}{2} by multiplying both numerator and the denominator by 100.

$$\frac{25}{200}\times 8000$$

Reduce the fraction \frac{25}{200} to lowest terms by extracting and canceling out 25.

$$\frac{1}{8}\times 8000$$

Multiply \frac{1}{8} and 8000 to get \frac{8000}{8}.

$$\frac{8000}{8}$$

Divide 8000 by 8 to get 1000.

$$1000$$

Factor

$$2^{3}\times 5^{3}$$