Solve 4pi^2200000/12*left(1-03^2right){left(1/44right)}^2

$$\frac{ 4 { \pi }^{ 2 } 200000 }{ 12 \times \left( 1- { 03 }^{ 2 } \right) } { \left( \frac{ 1 }{ 44 } \right) }^{ 2 }$$

Evaluate

$$\frac{12500\pi ^{2}}{363}\approx 339.862410506$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{200000\pi ^{2}}{3\left(1-0^{2}\right)}\times \left(\frac{1}{44}\right)^{2}$$

Calculate 0 to the power of 2 and get 0.

$$\frac{200000\pi ^{2}}{3\left(1-0\right)}\times \left(\frac{1}{44}\right)^{2}$$

Subtract 0 from 1 to get 1.

$$\frac{200000\pi ^{2}}{3\times 1}\times \left(\frac{1}{44}\right)^{2}$$

Multiply 3 and 1 to get 3.

$$\frac{200000\pi ^{2}}{3}\times \left(\frac{1}{44}\right)^{2}$$

Calculate \frac{1}{44} to the power of 2 and get \frac{1}{1936}.

$$\frac{200000\pi ^{2}}{3}\times \frac{1}{1936}$$

Multiply \frac{200000\pi ^{2}}{3} times \frac{1}{1936} by multiplying numerator times numerator and denominator times denominator.

$$\frac{200000\pi ^{2}}{3\times 1936}$$

Cancel out 16 in both numerator and denominator.

$$\frac{12500\pi ^{2}}{3\times 121}$$

Multiply 3 and 121 to get 363.

$$\frac{12500\pi ^{2}}{363}$$

Expand

$$\frac{12500 \pi ^ {2}}{363} = 339.8624105058319$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{200000\pi ^{2}}{3\left(1-0^{2}\right)}\times \left(\frac{1}{44}\right)^{2}$$

Calculate 0 to the power of 2 and get 0.

$$\frac{200000\pi ^{2}}{3\left(1-0\right)}\times \left(\frac{1}{44}\right)^{2}$$

Subtract 0 from 1 to get 1.

$$\frac{200000\pi ^{2}}{3\times 1}\times \left(\frac{1}{44}\right)^{2}$$

Multiply 3 and 1 to get 3.

$$\frac{200000\pi ^{2}}{3}\times \left(\frac{1}{44}\right)^{2}$$

Calculate \frac{1}{44} to the power of 2 and get \frac{1}{1936}.

$$\frac{200000\pi ^{2}}{3}\times \frac{1}{1936}$$

Multiply \frac{200000\pi ^{2}}{3} times \frac{1}{1936} by multiplying numerator times numerator and denominator times denominator.

$$\frac{200000\pi ^{2}}{3\times 1936}$$

Cancel out 16 in both numerator and denominator.

$$\frac{12500\pi ^{2}}{3\times 121}$$

Multiply 3 and 121 to get 363.

$$\frac{12500\pi ^{2}}{363}$$