SOLUTION: The manager of a sandwich shop is planning to make a circle graph showing the types of sandwiches sold in one day. The table below summarizes these data. Sandwiches Sold in O

Question 557522: The manager of a sandwich shop is planning to make a circle graph showing the types of sandwiches sold in one day. The table below summarizes these data.

Sandwiches Sold in One Day
Roast beef
195
Turkey-and-cheese
125
Ham-and-cheese
75
Vegetable
50
Other
55

What central angle should the manager use for the section representing the ham-and-cheese sandwich?
Answer by neatmath(302) (Show Source): You can put this solution on YOUR website!

Without actually drawing the graph, we can find this answer.

Add up the total amount of sandwiches sold:

Conveniently, the store sold 500 sandwiches.

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

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

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

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

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

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

We would just need to multiply our ratio R by

which would be the exact answer in radians.

I hope this helps! :)

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