Solve 3,14*(0,4/2)^2

$$3,14 \cdot ( \frac { 0,4 } { 2 } ) ^ { 2 }$$

Evaluate

$$0,1256$$

Solution Steps

Expand \frac{0,4}{2} by multiplying both numerator and the denominator by 10.

$$3,14\times \left(\frac{4}{20}\right)^{2}$$

Reduce the fraction \frac{4}{20} to lowest terms by extracting and canceling out 4.

$$3,14\times \left(\frac{1}{5}\right)^{2}$$

Calculate \frac{1}{5} to the power of 2 and get \frac{1}{25}.

$$3,14\times \frac{1}{25}$$

Multiply 3,14 and \frac{1}{25} to get \frac{157}{1250}.

$$\frac{157}{1250}$$

Factor

$$\frac{157}{2 \cdot 5 ^ {4}} = 0.1256$$