Solve cos(2pi/9)*4000pi*1/27

$$\cos ( \frac{ 2 \pi }{ 9 } ) \times 4000 \pi \times \frac{ 1 }{ 27 }$$

Evaluate

$$\frac{14186008205907\pi }{125000000000}\approx 356.533273308$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.766044443118978 \cdot 4000 \pi \cdot \frac{1}{27}$$

Multiply 0.766044443118978 and 4000 to get 3064.177772475912.

$$3064.177772475912\pi \times \frac{1}{27}$$

Convert decimal number 3064.177772475912 to fraction \frac{766044443118978}{10000000000}. Reduce the fraction \frac{766044443118978}{10000000000} to lowest terms by extracting and canceling out 2.

$$\frac{383022221559489}{125000000000}\pi \times \frac{1}{27}$$

Multiply \frac{383022221559489}{125000000000} times \frac{1}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{383022221559489\times 1}{125000000000\times 27}\pi$$

Do the multiplications in the fraction \frac{383022221559489\times 1}{125000000000\times 27}.

$$\frac{383022221559489}{3375000000000}\pi$$

Reduce the fraction \frac{383022221559489}{3375000000000} to lowest terms by extracting and canceling out 27.

$$\frac{14186008205907}{125000000000}\pi$$