Solve 12*70pi80*3/360+{left(12/2right)}^2pi3

$$12 \cdot 70 \pi \frac{ 80 \cdot 3 }{ 360 } + { \left( \frac{ 12 }{ 2 } \right) }^{ 2 } \pi 3$$

Evaluate

$$668\pi \approx 2098.583892598$$

Solution Steps

Multiply 12 and 70 to get 840.

$$840\pi \times \frac{80\times 3}{360}+\left(\frac{12}{2}\right)^{2}\pi \times 3$$

Multiply 80 and 3 to get 240.

$$840\pi \times \frac{240}{360}+\left(\frac{12}{2}\right)^{2}\pi \times 3$$

Reduce the fraction \frac{240}{360} to lowest terms by extracting and canceling out 120.

$$840\pi \times \frac{2}{3}+\left(\frac{12}{2}\right)^{2}\pi \times 3$$

Multiply 840 and \frac{2}{3} to get 560.

$$560\pi +\left(\frac{12}{2}\right)^{2}\pi \times 3$$

Divide 12 by 2 to get 6.

$$560\pi +6^{2}\pi \times 3$$

Calculate 6 to the power of 2 and get 36.

$$560\pi +36\pi \times 3$$

Multiply 36 and 3 to get 108.

$$560\pi +108\pi$$

Combine 560\pi and 108\pi to get 668\pi .

$$668\pi$$