SOLUTION: This question involves radian measure. I'm really confused on how to answer this problem correctly. The problem states: express -5(pie symbol)/6 radians in degrees. I'm trying to l

Algebra ->  Trigonometry-basics -> SOLUTION: This question involves radian measure. I'm really confused on how to answer this problem correctly. The problem states: express -5(pie symbol)/6 radians in degrees. I'm trying to l      Log On


   

Question 560953: This question involves radian measure. I'm really confused on how to answer this problem correctly. The problem states: express -5(pie symbol)/6 radians in degrees. I'm trying to learn this correctly. Can someone please help?
Thanks
Found 2 solutions by mananth, scott8148:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
2 pi = 360 degrees (ie: one full circle)
pi = 180 degrees
pi/2 = 90 degrees

5 pi/6
5*180/6 = 150 degrees

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
a radian is the size of a central angle of a circle that subtends a circumferential arc that is the length of the radius

in English ___ if you cut a piece of pie (not pi) and the outer arc of the crust is the same length as the radius of the pie
___ then the angle of the point of the piece is one radian

since the circumference of a circle is 2*pi*r; 360º (a whole circle) equals 2pi radians

in your case, -5pi/6 is a negative angle of ___ (-5pi / 6)(360º / 2pi) or -150º