Solve 0.425*pi^2*200000/12*(1-23^2)(1/11)^2

$$\frac { 0.425 \times \pi ^ { 2 } \times 200000 } { 12 \times ( 1 - 23 ^ { 2 } ) } ( \frac { 1 } { 11 } ) ^ { 2 }$$

Evaluate

$$-\frac{10625\pi ^{2}}{95832}\approx -1.094253973$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{0.425\times 50000\pi ^{2}}{3\left(1-23^{2}\right)}\times \left(\frac{1}{11}\right)^{2}$$

Multiply 0.425 and 50000 to get 21250.

$$\frac{21250\pi ^{2}}{3\left(1-23^{2}\right)}\times \left(\frac{1}{11}\right)^{2}$$

Calculate 23 to the power of 2 and get 529.

$$\frac{21250\pi ^{2}}{3\left(1-529\right)}\times \left(\frac{1}{11}\right)^{2}$$

Subtract 529 from 1 to get -528.

$$\frac{21250\pi ^{2}}{3\left(-528\right)}\times \left(\frac{1}{11}\right)^{2}$$

Multiply 3 and -528 to get -1584.

$$\frac{21250\pi ^{2}}{-1584}\times \left(\frac{1}{11}\right)^{2}$$

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

$$-\frac{10625}{792}\pi ^{2}\times \left(\frac{1}{11}\right)^{2}$$

Calculate \frac{1}{11} to the power of 2 and get \frac{1}{121}.

$$-\frac{10625}{792}\pi ^{2}\times \frac{1}{121}$$

Multiply -\frac{10625}{792} and \frac{1}{121} to get -\frac{10625}{95832}.

$$-\frac{10625}{95832}\pi ^{2}$$

Expand

$$-\frac{10625 \pi ^ {2}}{95832} = -1.0942539732195344$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{0.425\times 50000\pi ^{2}}{3\left(1-23^{2}\right)}\times \left(\frac{1}{11}\right)^{2}$$

Multiply 0.425 and 50000 to get 21250.

$$\frac{21250\pi ^{2}}{3\left(1-23^{2}\right)}\times \left(\frac{1}{11}\right)^{2}$$

Calculate 23 to the power of 2 and get 529.

$$\frac{21250\pi ^{2}}{3\left(1-529\right)}\times \left(\frac{1}{11}\right)^{2}$$

Subtract 529 from 1 to get -528.

$$\frac{21250\pi ^{2}}{3\left(-528\right)}\times \left(\frac{1}{11}\right)^{2}$$

Multiply 3 and -528 to get -1584.

$$\frac{21250\pi ^{2}}{-1584}\times \left(\frac{1}{11}\right)^{2}$$

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

$$-\frac{10625}{792}\pi ^{2}\times \left(\frac{1}{11}\right)^{2}$$

Calculate \frac{1}{11} to the power of 2 and get \frac{1}{121}.

$$-\frac{10625}{792}\pi ^{2}\times \frac{1}{121}$$

Multiply -\frac{10625}{792} and \frac{1}{121} to get -\frac{10625}{95832}.

$$-\frac{10625}{95832}\pi ^{2}$$