Solve 90/360*3.14*25*25

$$\frac{ 90 }{ 360 } \times 3.14 \times 25 \times 25$$

Evaluate

$$490.625$$

Solution Steps

Reduce the fraction \frac{90}{360} to lowest terms by extracting and canceling out 90.

$$\frac{1}{4}\times 3.14\times 25\times 25$$

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}\times \frac{157}{50}\times 25\times 25$$

Multiply \frac{1}{4} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 157}{4\times 50}\times 25\times 25$$

Do the multiplications in the fraction \frac{1\times 157}{4\times 50}.

$$\frac{157}{200}\times 25\times 25$$

Express \frac{157}{200}\times 25 as a single fraction.

$$\frac{157\times 25}{200}\times 25$$

Multiply 157 and 25 to get 3925.

$$\frac{3925}{200}\times 25$$

Reduce the fraction \frac{3925}{200} to lowest terms by extracting and canceling out 25.

$$\frac{157}{8}\times 25$$

Express \frac{157}{8}\times 25 as a single fraction.

$$\frac{157\times 25}{8}$$

Multiply 157 and 25 to get 3925.

$$\frac{3925}{8}$$

Factor

$$\frac{157 \cdot 5 ^ {2}}{2 ^ {3}} = 490\frac{5}{8} = 490.625$$