Solve 4pi^2*6378000/86160^2*cos39.9^circ

$$\frac { 4 \pi ^ { 2 } \times 6378000 } { 86160 ^ { 2 } } \times \cos 39.9 ^ { \circ }$$

Evaluate

$$\frac{8154965563796635811\pi ^{2}}{3093144000000000000000}\approx 0.026020866$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{4 \pi ^ {2} \cdot 6378000}{86160 ^ {2}} \cdot 0.7671651518152997$$

Multiply 4 and 6378000 to get 25512000.

$$\frac{25512000\pi ^{2}}{86160^{2}}\times 0.7671651518152997$$

Calculate 86160 to the power of 2 and get 7423545600.

$$\frac{25512000\pi ^{2}}{7423545600}\times 0.7671651518152997$$

Divide 25512000\pi ^{2} by 7423545600 to get \frac{5315}{1546572}\pi ^{2}.

$$\frac{5315}{1546572}\pi ^{2}\times 0.7671651518152997$$

Multiply \frac{5315}{1546572} and 0.7671651518152997 to get \frac{8154965563796635811}{3093144000000000000000}.

$$\frac{8154965563796635811}{3093144000000000000000}\pi ^{2}$$