Solve pi^221000/{left(frac{500{6}0.05right)}^2}

$$\frac{ { \pi }^{ 2 } 21000 }{ { \left( \frac{ 500 }{ 6 } 0.05 \right) }^{ 2 } }$$

Evaluate

$$\frac{6048\pi ^{2}}{5}\approx 11938.273483558$$

Solution Steps

Reduce the fraction \frac{500}{6} to lowest terms by extracting and canceling out 2.

$$\frac{\pi ^{2}\times 21000}{\left(\frac{250}{3}\times 0.05\right)^{2}}$$

Multiply \frac{250}{3} and 0.05 to get \frac{25}{6}.

$$\frac{\pi ^{2}\times 21000}{\left(\frac{25}{6}\right)^{2}}$$

Calculate \frac{25}{6} to the power of 2 and get \frac{625}{36}.

$$\frac{\pi ^{2}\times 21000}{\frac{625}{36}}$$

Divide \pi ^{2}\times 21000 by \frac{625}{36} by multiplying \pi ^{2}\times 21000 by the reciprocal of \frac{625}{36}.

$$\frac{\pi ^{2}\times 21000\times 36}{625}$$

Multiply 21000 and 36 to get 756000.

$$\frac{\pi ^{2}\times 756000}{625}$$

Divide \pi ^{2}\times 756000 by 625 to get \pi ^{2}\times \frac{6048}{5}.

$$\pi ^{2}\times \frac{6048}{5}$$

Expand

$$\frac{6048 \pi ^ {2}}{5} = 11938.273483557688$$

Solution Steps

Reduce the fraction \frac{500}{6} to lowest terms by extracting and canceling out 2.

$$\frac{\pi ^{2}\times 21000}{\left(\frac{250}{3}\times 0.05\right)^{2}}$$

Multiply \frac{250}{3} and 0.05 to get \frac{25}{6}.

$$\frac{\pi ^{2}\times 21000}{\left(\frac{25}{6}\right)^{2}}$$

Calculate \frac{25}{6} to the power of 2 and get \frac{625}{36}.

$$\frac{\pi ^{2}\times 21000}{\frac{625}{36}}$$

Divide \pi ^{2}\times 21000 by \frac{625}{36} by multiplying \pi ^{2}\times 21000 by the reciprocal of \frac{625}{36}.

$$\frac{\pi ^{2}\times 21000\times 36}{625}$$

Multiply 21000 and 36 to get 756000.

$$\frac{\pi ^{2}\times 756000}{625}$$

Divide \pi ^{2}\times 756000 by 625 to get \pi ^{2}\times \frac{6048}{5}.

$$\pi ^{2}\times \frac{6048}{5}$$