Question 557522
<br><font face="Tahoma">Without actually drawing the graph, we can find this answer.<br>

Add up the total amount of sandwiches sold:<br>

{{{195+125+75+50+55=T}}}<br>

{{{T=500}}}<br>

Conveniently, the store sold 500 sandwiches.<br>

Now we just need to compare the number of ham and cheese sandwiches sold (75),<br>

to the total number of sandwiches sold (500) to get a ratio:<br>

{{{R=75/500}}}<br>

{{{R=3/20}}}<br>

Now, since a circle has a total of 360 degrees in it, if we multiply our ratio R by 360,<br>

we will know the measure of the central angle that the ham and cheese sandwiches should have on the graph.<br>

{{{A=360*R}}}<br>

{{{A=360*(3/20)}}}<br>

{{{A=54}}}<br>

So the ham and cheese central angle on the graph should be 54 degrees.<br>

If we were using radians, of course we would have a different answer, but the process would be exactly the same.<br>

We would just need to multiply our ratio R by {{{2*pi}}}<br>

{{{A=2*pi*R}}}<br>

{{{A=2*pi*(3/20)}}}<br>

{{{A=(3*pi)/10}}} which would be the exact answer in radians.<br>

I hope this helps!  :)<br>

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