Solve =[32.5-(0.31416*28)]^2/(4*3.1416)-6.5

$$= [ 32.5 - ( 0.31416 \times 28 ) ] ^ { 2 } / ( 4 \times 3.1416 ) - 6.5$$

Evaluate

$$\frac{18756846109}{490875000}\approx 38.211043767$$

Solution Steps

Multiply 0.31416 and 28 to get 8.79648.

$$\frac{\left(32.5-8.79648\right)^{2}}{4\times 3.1416}-6.5$$

Subtract 8.79648 from 32.5 to get 23.70352.

$$\frac{23.70352^{2}}{4\times 3.1416}-6.5$$

Calculate 23.70352 to the power of 2 and get 561.8568603904.

$$\frac{561.8568603904}{4\times 3.1416}-6.5$$

Multiply 4 and 3.1416 to get 12.5664.

$$\frac{561.8568603904}{12.5664}-6.5$$

Expand \frac{561.8568603904}{12.5664} by multiplying both numerator and the denominator by 10000000000.

$$\frac{5618568603904}{125664000000}-6.5$$

Reduce the fraction \frac{5618568603904}{125664000000} to lowest terms by extracting and canceling out 256.

$$\frac{21947533609}{490875000}-6.5$$

Subtract 6.5 from \frac{21947533609}{490875000} to get \frac{18756846109}{490875000}.

$$\frac{18756846109}{490875000}$$

Factor

$$\frac{67 \cdot 257 \cdot 1019 \cdot 1069}{3 \cdot 7 \cdot 11 \cdot 17 \cdot 2 ^ {3} \cdot 5 ^ {6}} = 38\frac{103596109}{490875000} = 38.21104376674306$$