Problem

In which quadrant is the angle θ=5π/4 located?

Answer

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Answer

The angle 225 degrees is located in the third quadrant. For reference, the four quadrants are divided as follows: first quadrant (0 to 90 degrees), second quadrant (90 to 180 degrees), third quadrant (180 to 270 degrees), and fourth quadrant (270 to 360 degrees).

Steps

Step 1 ：The angle θ=5π/4 is a positive angle and it is measured in radians. In degrees, it is equal to 5π/4×180π=225 degrees.

Step 2 ：The angle 225 degrees is located in the third quadrant. For reference, the four quadrants are divided as follows: first quadrant (0 to 90 degrees), second quadrant (90 to 180 degrees), third quadrant (180 to 270 degrees), and fourth quadrant (270 to 360 degrees).

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