103k views
4 votes
Convert 5pie/3 radians to degree measure

User Epsalon
by
4.0k points

1 Answer

3 votes

Answer:

300°

Explanation:

That'd be 5pi/3 radians. Note that 3pi/3 radians corresponds to 180° and that 6pi/3 corresponds to 360°. Thus 5pi/3 is in Quadrant IV, meaning that the angle in degrees is between 270° and 360°.

The "radians to degrees" conversion factor is (180°/pi), and so

5pi/3 radians works out to:

5pi/3 · 180° 5· 180°

----------------- = ---------- = 300°

3 pi 3

User Marylee
by
4.5k points