How do you calculate the central angle in a pie chart?

Question

vampirediaries · Answer

It's just the pie graph, I need help on how to figure out the central angle of each.

anonymous · Answer

We know that the 'central angle' of a full circle is 360 degrees or 2pi radians.

So for each sector we just need to multiply that value by the fraction of the circle:

Tennis:

$$\theta = 360^{o} * 0.45 = 162^{o}$$

or in radians:

$$\theta = 2\pi * 0.45 = \frac{9\pi}{10}$$ 


The others are all the same.

phi · Answer

If they give % of a sector (or "slice")

then use 
$$ \frac{angle}{360}= percent $$

vampirediaries · Answer

But wouldn't it all have to equal 100% or 1

anonymous · Answer

A circle has 360 degrees. So you would do something like : 
(I'm using 8 as an example)
x/360 =8/100 

(360 x 8 divided by 100) 

x = 28.8 degrees