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

Apr 27, 2018

#### 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 $\setminus \frac{\pi}{2.}$ Let's count quadrants:

$\frac{10}{\setminus \frac{\pi}{2}} \approx 6.4$.

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