Solve =500sec^2(tan^-1(1/2))(12pi)

$$= 500 \sec ^ { 2 } ( \tan ^ { - 1 } ( \frac { 1 } { 2 } ) ) ( 12 \pi )$$

Evaluate

$$-\frac{27073502754727794925877793193107\pi }{781250000000000000000000000}\approx -108869.014222331$$

Solution Steps

Evaluate trigonometric functions in the problem

$$500 \cdot -2.4032645688053704 ^ {2} {(12 \pi)}$$

Calculate 2.4032645688053704 to the power of 2 and get 5.77568058767526291752059588119616.

$$500\left(-5.77568058767526291752059588119616\right)\times 12\pi$$

Multiply 500 and -5.77568058767526291752059588119616 to get -2887.84029383763145876029794059808.

$$-2887.84029383763145876029794059808\times 12\pi$$

Multiply -2887.84029383763145876029794059808 and 12 to get -34654.08352605157750512357528717696.

$$-34654.08352605157750512357528717696\pi$$