Solve 0.425*pi^2*200000/12*(1-23^2)(1/6.8)

$$\frac { 0.425 \times \pi ^ { 2 } \times 200000 } { 12 \times ( 1 - 23 ^ { 2 } ) } ( \frac { 1 } { 6.8 } )$$

Evaluate

$$-\frac{3125\pi ^{2}}{1584}\approx -19.471283935$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{0.425\times 50000\pi ^{2}}{3\left(1-23^{2}\right)}\times \frac{1}{6.8}$$

Multiply 0.425 and 50000 to get 21250.

$$\frac{21250\pi ^{2}}{3\left(1-23^{2}\right)}\times \frac{1}{6.8}$$

Calculate 23 to the power of 2 and get 529.

$$\frac{21250\pi ^{2}}{3\left(1-529\right)}\times \frac{1}{6.8}$$

Subtract 529 from 1 to get -528.

$$\frac{21250\pi ^{2}}{3\left(-528\right)}\times \frac{1}{6.8}$$

Multiply 3 and -528 to get -1584.

$$\frac{21250\pi ^{2}}{-1584}\times \frac{1}{6.8}$$

Divide 21250\pi ^{2} by -1584 to get -\frac{10625}{792}\pi ^{2}.

$$-\frac{10625}{792}\pi ^{2}\times \frac{1}{6.8}$$

Expand \frac{1}{6.8} by multiplying both numerator and the denominator by 10.

$$-\frac{10625}{792}\pi ^{2}\times \frac{10}{68}$$

Reduce the fraction \frac{10}{68} to lowest terms by extracting and canceling out 2.

$$-\frac{10625}{792}\pi ^{2}\times \frac{5}{34}$$

Multiply -\frac{10625}{792} and \frac{5}{34} to get -\frac{3125}{1584}.

$$-\frac{3125}{1584}\pi ^{2}$$

Expand

$$-\frac{3125 \pi ^ {2}}{1584} = -19.471283935229952$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{0.425\times 50000\pi ^{2}}{3\left(1-23^{2}\right)}\times \frac{1}{6.8}$$

Multiply 0.425 and 50000 to get 21250.

$$\frac{21250\pi ^{2}}{3\left(1-23^{2}\right)}\times \frac{1}{6.8}$$

Calculate 23 to the power of 2 and get 529.

$$\frac{21250\pi ^{2}}{3\left(1-529\right)}\times \frac{1}{6.8}$$

Subtract 529 from 1 to get -528.

$$\frac{21250\pi ^{2}}{3\left(-528\right)}\times \frac{1}{6.8}$$

Multiply 3 and -528 to get -1584.

$$\frac{21250\pi ^{2}}{-1584}\times \frac{1}{6.8}$$

Divide 21250\pi ^{2} by -1584 to get -\frac{10625}{792}\pi ^{2}.

$$-\frac{10625}{792}\pi ^{2}\times \frac{1}{6.8}$$

Expand \frac{1}{6.8} by multiplying both numerator and the denominator by 10.

$$-\frac{10625}{792}\pi ^{2}\times \frac{10}{68}$$

Reduce the fraction \frac{10}{68} to lowest terms by extracting and canceling out 2.

$$-\frac{10625}{792}\pi ^{2}\times \frac{5}{34}$$

Multiply -\frac{10625}{792} and \frac{5}{34} to get -\frac{3125}{1584}.

$$-\frac{3125}{1584}\pi ^{2}$$