Unit circle angle help?

Question

anonymous · Answer

attachment

zepdrix · Answer

$$\Large\rm -\frac{6\pi}{12}=-\frac{\pi}{2}$$Do you remember how far to spin for pi/2? :)

zepdrix · Answer

For -7pi/12, you'll need to spin a tiny bit further.

anonymous · Answer

@zepdrix I don't quite follow

sepeario · Answer

Do you know how to work out radians?

sepeario · Answer

Oh and nice picture http://www.fanpop.com/clubs/emo-girls/images/7443226/title/pretty-emo-girl-photo

zepdrix · Answer

What are you confused about? :)

zepdrix · Answer

7pi/12 is like uhhhh... around 100 degrees.

Do you understand how far a 100 degree spin in the opposite direction will look?

anonymous · Answer

@zepdrix I think
you might have to clear out the conversion between radians and degrees first, I feel like @JoeJoldin is confused about that. :)

zepdrix · Answer

Joe Joeeeee, where you at girl? :3

anonymous · Answer

2pi rad = 360 deg
pi  rad   = 180 deg 
pi/2 rad = 90 deg
pi/3 rad = 60 deg
pi/4 rad = 45 deg
pi/6 rad = 30 deg

anonymous · Answer

Okay idk if this will work out but here goes my explanation
in this equation our S means arc length

|dw:1431594112401:dw|

$$S = \theta* r$$

$$\theta = \frac{ S }{ r }$$

so..if we were to consider the whole circle as our arc like this:
|dw:1431594353764:dw|

thats gonna be:

$$\theta = \frac{ 2\pi r }{ r } = 2 \pi $$

which means $$2\pi = 360°$$