Question

The terminal ray of a 300° angle lies in which quadrant? This angle measures (___) radians.

a) Third
b) Fourth
c) First
d) Second

Answer 1

The terminal ray of a 300° angle lies in fourth quadrant, This angle measures 5π/3 radians.

Step-by-step explanation:

To determine the quadrant in which the terminal ray of a given angle lies, you can use the following guidelines:

1. If the angle is between 0° and 90°, it lies in the first quadrant.
2. If the angle is between 90° and 180°, it lies in the second quadrant.
3. If the angle is between 180° and 270°, it lies in the third quadrant.
4. If the angle is between 270° and 360°, it lies in the fourth quadrant.

For a 300° angle, it falls between 270° and 360°, so the terminal ray of the angle lies in the fourth quadrant.

To convert 300° to radians, you can use the conversion factor π radians = 180°:

300°× π radians / 180° = 5π/3 radians.

So, the correct answers are:

The terminal ray of the 300° angle lies in the fourth quadrant.

The angle measures 5π/3 radians.