Find the Quadrant of the Angle 300

Problem

300

Solution

1. Identify the standard position of the angle, which starts at the positive x-axis (0 and rotates counter-clockwise.

2. Compare the given angle to the boundaries of the four quadrants in a full 360 rotation.

3. Determine the range for each quadrant: Quadrant I is 0<θ<90 Quadrant II is 90<θ<180 Quadrant III is 180<θ<270 and Quadrant IV is 270<θ<360

4. Locate the angle 300 within these ranges. Since 270<300<360 the angle lies in the fourth quadrant.

Final Answer

Quadrant of *300=Quadrant IV

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