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

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.