Solve =90/360*3.14*10*10

$$= \frac { 90 } { 360 } \times 3.14 \times 10 \times 10$$

Evaluate

$$78.5$$

Solution Steps

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

$$\frac{1}{4}\times 3.14\times 10\times 10$$

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.

$$\frac{1}{4}\times \frac{157}{50}\times 10\times 10$$

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

$$\frac{1\times 157}{4\times 50}\times 10\times 10$$

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

$$\frac{157}{200}\times 10\times 10$$

Express \frac{157}{200}\times 10 as a single fraction.

$$\frac{157\times 10}{200}\times 10$$

Multiply 157 and 10 to get 1570.

$$\frac{1570}{200}\times 10$$

Reduce the fraction \frac{1570}{200} to lowest terms by extracting and canceling out 10.

$$\frac{157}{20}\times 10$$

Express \frac{157}{20}\times 10 as a single fraction.

$$\frac{157\times 10}{20}$$

Multiply 157 and 10 to get 1570.

$$\frac{1570}{20}$$

Reduce the fraction \frac{1570}{20} to lowest terms by extracting and canceling out 10.

$$\frac{157}{2}$$

Factor

$$\frac{157}{2} = 78\frac{1}{2} = 78.5$$