## anonymous one year ago Is -2pi / 3 = 240 degrees and its Degree Equivalent = 2pi/3 ??

1. anonymous

I meant Is -2pi / 3 = 240 degrees and its Degree Equivalent = 120 degrees ??

2. AbdullahM

What you can remember is that pi radians = 180 degrees

3. anonymous

I see another boo boo I mean Is -2pi / 3 = -240 degrees and its Degree Equivalent = 120 degrees??

4. AbdullahM

So you can replace pi with 180 degrees and simplify it $$\sf\Large \frac{-2(180)}{3}=?$$

5. AbdullahM

6. AbdullahM

another way to think about it is: -2pi/3 we are working clockwise on the circle, and in radians the whole circle is 2pi so 2pi is also 6pi/3 and so to find out how much we are left at would be: 6pi/3 - 2pi/3 = 4pi/3

7. anonymous

-2pi/3 = -120 yes but this is at the 240 mark correct?

8. AbdullahM

correct

9. AbdullahM

|dw:1435338329310:dw|

10. AbdullahM

and you can see from my second example that 4pi/3 = 240 degrees

11. anonymous

Ok lets start over. -2pi/3 = -120 degrees, which is at the 240 mark. Now its Equivalent degree is at 120, which is at 2pi/3 ??

12. AbdullahM

"-2pi/3 = -120 degrees, which is at the 240 mark." correct "Now its Equivalent degree is at 120, which is at 2pi/3 ??" and correct

13. anonymous

Ok :-) thank you!

14. AbdullahM

anytime :D