Solve 2pi*6378000/86160*cos39.9^circ

$$\frac { 2 \pi \times 6378000 } { 86160 } \times \cos 39.9 ^ { \circ }$$

Evaluate

$$\frac{8154965563796635811\pi }{71800000000000000}\approx 356.818661637$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2 \pi \cdot 6378000}{86160} \cdot 0.7671651518152997$$

Multiply 2 and 6378000 to get 12756000.

$$\frac{12756000\pi }{86160}\times 0.7671651518152997$$

Divide 12756000\pi by 86160 to get \frac{53150}{359}\pi .

$$\frac{53150}{359}\pi \times 0.7671651518152997$$

Convert decimal number 0.7671651518152997 to fraction \frac{7671651518152997}{10000000000}. Reduce the fraction \frac{7671651518152997}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{53150}{359}\pi \times \frac{7671651518152997}{10000000000000000}$$

Multiply \frac{53150}{359} times \frac{7671651518152997}{10000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{53150\times 7671651518152997}{359\times 10000000000000000}\pi$$

Do the multiplications in the fraction \frac{53150\times 7671651518152997}{359\times 10000000000000000}.

$$\frac{407748278189831790550}{3590000000000000000}\pi$$

Reduce the fraction \frac{407748278189831790550}{3590000000000000000} to lowest terms by extracting and canceling out 50.

$$\frac{8154965563796635811}{71800000000000000}\pi$$