Solve 4pi^2200000/12*left(1-0.3^2right){left(1/44right)}^2

$$\frac{ 4 { \pi }^{ 2 } 200000 }{ 12 \times \left( 1- { 0.3 }^{ 2 } \right) } { \left( \frac{ 1 }{ 44 } \right) }^{ 2 }$$

Evaluate

$$\frac{1250000\pi ^{2}}{33033}\approx 373.47517638$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{200000\pi ^{2}}{3\left(1-0.3^{2}\right)}\times \left(\frac{1}{44}\right)^{2}$$

Calculate 0.3 to the power of 2 and get 0.09.

$$\frac{200000\pi ^{2}}{3\left(1-0.09\right)}\times \left(\frac{1}{44}\right)^{2}$$

Subtract 0.09 from 1 to get 0.91.

$$\frac{200000\pi ^{2}}{3\times 0.91}\times \left(\frac{1}{44}\right)^{2}$$

Multiply 3 and 0.91 to get 2.73.

$$\frac{200000\pi ^{2}}{2.73}\times \left(\frac{1}{44}\right)^{2}$$

Divide 200000\pi ^{2} by 2.73 to get \frac{20000000}{273}\pi ^{2}.

$$\frac{20000000}{273}\pi ^{2}\times \left(\frac{1}{44}\right)^{2}$$

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

$$\frac{20000000}{273}\pi ^{2}\times \frac{1}{1936}$$

Multiply \frac{20000000}{273} and \frac{1}{1936} to get \frac{1250000}{33033}.

$$\frac{1250000}{33033}\pi ^{2}$$

Expand

$$\frac{1250000 \pi ^ {2}}{33033} = 373.47517638003507$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{200000\pi ^{2}}{3\left(1-0.3^{2}\right)}\times \left(\frac{1}{44}\right)^{2}$$

Calculate 0.3 to the power of 2 and get 0.09.

$$\frac{200000\pi ^{2}}{3\left(1-0.09\right)}\times \left(\frac{1}{44}\right)^{2}$$

Subtract 0.09 from 1 to get 0.91.

$$\frac{200000\pi ^{2}}{3\times 0.91}\times \left(\frac{1}{44}\right)^{2}$$

Multiply 3 and 0.91 to get 2.73.

$$\frac{200000\pi ^{2}}{2.73}\times \left(\frac{1}{44}\right)^{2}$$

Divide 200000\pi ^{2} by 2.73 to get \frac{20000000}{273}\pi ^{2}.

$$\frac{20000000}{273}\pi ^{2}\times \left(\frac{1}{44}\right)^{2}$$

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

$$\frac{20000000}{273}\pi ^{2}\times \frac{1}{1936}$$

Multiply \frac{20000000}{273} and \frac{1}{1936} to get \frac{1250000}{33033}.

$$\frac{1250000}{33033}\pi ^{2}$$