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
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Question 560942: 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 Answer by scott8148(6628) (Show Source):
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