Question

In which quadrant of the circle does an angle of 14 radians fall

Answer 1

quadrant I

Explanation:

guy above explained RLY well

basically if the degrees are greater than 360, you subtract the number - 360 until it is either 360 or below

also the four quadrants:

I = up to 90

II = up to 180

III = up to 270

IV = up to 360

Answer 2

To find what quadrant 14rad is, it is easier to convert it first to degrees.
So,
1 rad = 180°/π
14 x 180°/π=802.14°

Since a circle’s complete angle is 360°, and our value is more than 360°, reduce the angle until it is lesser than or equal to 360° by subtraction.

So,
802.14° – 360° = 442.14°
442.14° – 360° = 82.14°

A circle is divided into 4 quadrants, adding up 90° with each incrementing quadrant, with quadrant 1 limited to 0° to 90°. Since the simplified angle is 82.14°, it falls under quadrant 1.