Solve frac{488^2*2sqrt{2}}{2*200*pi*10*10}

$$\frac{ { 488 }^{ 2 } \times 2 \sqrt{ 2 } }{ 2 \times 200 \times \pi \times 10 \times 10 }$$

Evaluate

$$\frac{7442\sqrt{2}}{625\pi }\approx 5.36012322$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{\sqrt{2}\times 488^{2}}{10\times 10\times 200\pi }$$

Calculate 488 to the power of 2 and get 238144.

$$\frac{\sqrt{2}\times 238144}{10\times 10\times 200\pi }$$

Multiply 10 and 10 to get 100.

$$\frac{\sqrt{2}\times 238144}{100\times 200\pi }$$

Multiply 100 and 200 to get 20000.

$$\frac{\sqrt{2}\times 238144}{20000\pi }$$

Cancel out 32 in both numerator and denominator.

$$\frac{7442\sqrt{2}}{625\pi }$$