Solve frac{45pi*(2sqrt{2})^2}{360}

$$\frac { 45 \pi \times ( 2 \sqrt { 2 } ) ^ { 2 } } { 360 }$$

Evaluate

$$\pi \approx 3.141592654$$

Solution Steps

Expand \left(2\sqrt{2}\right)^{2}.

$$\frac{45\pi \times 2^{2}\left(\sqrt{2}\right)^{2}}{360}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{45\pi \times 4\left(\sqrt{2}\right)^{2}}{360}$$

The square of \sqrt{2} is 2.

$$\frac{45\pi \times 4\times 2}{360}$$

Multiply 4 and 2 to get 8.

$$\frac{45\pi \times 8}{360}$$

Multiply 45 and 8 to get 360.

$$\frac{360\pi }{360}$$

Cancel out 360 and 360.

$$\pi$$