Question

In which quadrant does an angle of 5 radians terminate? Show your work.

Answer 1

I would say it is an angle whose coordinates (as a trigonometric angle measured along the unit circle, x^2+y^2=1), lie in the 3rd quadrant. Since one can see that pi < 3.5 < 3pi/2, where pi = 3.14 (approximately), the point which corresponds to this angle, 3.5 radians, on the unit circle must be in the 3rd quadrant.
So
3.5 radians = 3.5*180/π =200.53 Deg.
It lies in the 3rd Quadrant.

Answer 2

the question was about 5 radians.
3π/2 < 5 < 2π
so 5 radians is in QIV