Question

If the angle `10` is in standard position, which quadrant does it terminate?

Answer 1

10 radians is about 6.4 ninety degree angles, which puts it comfortably in the third quadrant.

Explanation:

Not clear if this is `10` radians or `10 ^circ.` Let's do both.

`10^circ` is obviously in the first quadrant, no need to belabor that..

`10` radians. A quadrant is `90^circ` or `\pi/2.` Let's count quadrants:

`10 / (\pi/2) approx 6.4`.

0-1 means first quadrant, 1-2 second, 2-3, third, 3-4 fourth, 4-5 first, 5-6, second, 6-7 third, bingo.