Solve frac{90pi{left(3sqrt{3}right)}^2}{360}

$$\frac{ 90 \pi { \left(3 \sqrt{ 3 } \right) }^{ 2 } }{ 360 }$$

Evaluate

$$\frac{27\pi }{4}\approx 21.205750412$$

Solution Steps

Expand \left(3\sqrt{3}\right)^{2}.

$$\frac{90\pi \times 3^{2}\left(\sqrt{3}\right)^{2}}{360}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{90\pi \times 9\left(\sqrt{3}\right)^{2}}{360}$$

The square of \sqrt{3} is 3.

$$\frac{90\pi \times 9\times 3}{360}$$

Multiply 9 and 3 to get 27.

$$\frac{90\pi \times 27}{360}$$

Multiply 90 and 27 to get 2430.

$$\frac{2430\pi }{360}$$

Divide 2430\pi by 360 to get \frac{27}{4}\pi .

$$\frac{27}{4}\pi$$

Expand

$$\frac{27 \pi}{4} = 21.205750411731103$$

Solution Steps

Expand \left(3\sqrt{3}\right)^{2}.

$$\frac{90\pi \times 3^{2}\left(\sqrt{3}\right)^{2}}{360}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{90\pi \times 9\left(\sqrt{3}\right)^{2}}{360}$$

The square of \sqrt{3} is 3.

$$\frac{90\pi \times 9\times 3}{360}$$

Multiply 9 and 3 to get 27.

$$\frac{90\pi \times 27}{360}$$

Multiply 90 and 27 to get 2430.

$$\frac{2430\pi }{360}$$

Divide 2430\pi by 360 to get \frac{27}{4}\pi .

$$\frac{27}{4}\pi$$