Solve 4pi^2200/12left(1-0.09right)/44^2

$$\frac{ \frac{ 4 { \pi }^{ 2 } 200 }{ 12 \left( 1-0.09 \right) } }{ { 44 }^{ 2 } }$$

Evaluate

$$\frac{1250\pi ^{2}}{33033}\approx 0.373475176$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{\frac{200\pi ^{2}}{3\left(1-0.09\right)}}{44^{2}}$$

Subtract 0.09 from 1 to get 0.91.

$$\frac{\frac{200\pi ^{2}}{3\times 0.91}}{44^{2}}$$

Multiply 3 and 0.91 to get 2.73.

$$\frac{\frac{200\pi ^{2}}{2.73}}{44^{2}}$$

Divide 200\pi ^{2} by 2.73 to get \frac{20000}{273}\pi ^{2}.

$$\frac{\frac{20000}{273}\pi ^{2}}{44^{2}}$$

Calculate 44 to the power of 2 and get 1936.

$$\frac{\frac{20000}{273}\pi ^{2}}{1936}$$

Divide \frac{20000}{273}\pi ^{2} by 1936 to get \frac{1250}{33033}\pi ^{2}.

$$\frac{1250}{33033}\pi ^{2}$$

Expand

$$\frac{1250 \pi ^ {2}}{33033} = 0.373475176380035$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{\frac{200\pi ^{2}}{3\left(1-0.09\right)}}{44^{2}}$$

Subtract 0.09 from 1 to get 0.91.

$$\frac{\frac{200\pi ^{2}}{3\times 0.91}}{44^{2}}$$

Multiply 3 and 0.91 to get 2.73.

$$\frac{\frac{200\pi ^{2}}{2.73}}{44^{2}}$$

Divide 200\pi ^{2} by 2.73 to get \frac{20000}{273}\pi ^{2}.

$$\frac{\frac{20000}{273}\pi ^{2}}{44^{2}}$$

Calculate 44 to the power of 2 and get 1936.

$$\frac{\frac{20000}{273}\pi ^{2}}{1936}$$

Divide \frac{20000}{273}\pi ^{2} by 1936 to get \frac{1250}{33033}\pi ^{2}.

$$\frac{1250}{33033}\pi ^{2}$$