Solve 2*3.14*(1.5/2)^2+3.14*1.5*6

$$2 \times 3.14 \times ( \frac { 1.5 } { 2 } ) ^ { 2 } + 3.14 \times 1.5 \times 6$$

Evaluate

$$31.7925$$

Solution Steps

Multiply 2 and 3.14 to get 6.28.

$$6.28\times \left(\frac{1.5}{2}\right)^{2}+3.14\times 1.5\times 6$$

Expand \frac{1.5}{2} by multiplying both numerator and the denominator by 10.

$$6.28\times \left(\frac{15}{20}\right)^{2}+3.14\times 1.5\times 6$$

Reduce the fraction \frac{15}{20} to lowest terms by extracting and canceling out 5.

$$6.28\times \left(\frac{3}{4}\right)^{2}+3.14\times 1.5\times 6$$

Calculate \frac{3}{4} to the power of 2 and get \frac{9}{16}.

$$6.28\times \frac{9}{16}+3.14\times 1.5\times 6$$

Multiply 6.28 and \frac{9}{16} to get \frac{1413}{400}.

$$\frac{1413}{400}+3.14\times 1.5\times 6$$

Multiply 3.14 and 1.5 to get 4.71.

$$\frac{1413}{400}+4.71\times 6$$

Multiply 4.71 and 6 to get 28.26.

$$\frac{1413}{400}+28.26$$

Add \frac{1413}{400} and 28.26 to get \frac{12717}{400}.

$$\frac{12717}{400}$$

Factor

$$\frac{157 \cdot 3 ^ {4}}{2 ^ {4} \cdot 5 ^ {2}} = 31\frac{317}{400} = 31.7925$$