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

1 Answer
Dean R.
Apr 27, 2018

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.

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