Solve 4*3.14^2200000/12left(1-0.3^2right){left(1/69.6right)}^2

$$\frac{ 4 \times { 3.14 }^{ 2 } 200000 }{ 12 \left( 1- { 0.3 }^{ 2 } \right) } { \left( \frac{ 1 }{ 69.6 } \right) }^{ 2 }$$

Evaluate

$$\frac{308112500}{2066337}\approx 149.110479075$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{200000\times 3.14^{2}}{3\left(1-0.3^{2}\right)}\times \left(\frac{1}{69.6}\right)^{2}$$

Calculate 3.14 to the power of 2 and get 9.8596.

$$\frac{200000\times 9.8596}{3\left(1-0.3^{2}\right)}\times \left(\frac{1}{69.6}\right)^{2}$$

Multiply 200000 and 9.8596 to get 1971920.

$$\frac{1971920}{3\left(1-0.3^{2}\right)}\times \left(\frac{1}{69.6}\right)^{2}$$

Calculate 0.3 to the power of 2 and get 0.09.

$$\frac{1971920}{3\left(1-0.09\right)}\times \left(\frac{1}{69.6}\right)^{2}$$

Subtract 0.09 from 1 to get 0.91.

$$\frac{1971920}{3\times 0.91}\times \left(\frac{1}{69.6}\right)^{2}$$

Multiply 3 and 0.91 to get 2.73.

$$\frac{1971920}{2.73}\times \left(\frac{1}{69.6}\right)^{2}$$

Expand \frac{1971920}{2.73} by multiplying both numerator and the denominator by 100.

$$\frac{197192000}{273}\times \left(\frac{1}{69.6}\right)^{2}$$

Expand \frac{1}{69.6} by multiplying both numerator and the denominator by 10.

$$\frac{197192000}{273}\times \left(\frac{10}{696}\right)^{2}$$

Reduce the fraction \frac{10}{696} to lowest terms by extracting and canceling out 2.

$$\frac{197192000}{273}\times \left(\frac{5}{348}\right)^{2}$$

Calculate \frac{5}{348} to the power of 2 and get \frac{25}{121104}.

$$\frac{197192000}{273}\times \frac{25}{121104}$$

Multiply \frac{197192000}{273} and \frac{25}{121104} to get \frac{308112500}{2066337}.

$$\frac{308112500}{2066337}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {5} \cdot 157 ^ {2}}{7 \cdot 13 \cdot 3 ^ {3} \cdot 29 ^ {2}} = 149\frac{228287}{2066337} = 149.11047907480724$$