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?
A 270°
B 75°
C 54°
D 15°

Question

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?
A 270°
B 75°
C 54°
D 15°

directrix · Answer

C)  54°
-------
500 sandwiches were sold. Of these, 75 were ham and cheese.
Therefore,
75 is to 500 as x is to 360 where x is the central angle of the circle graph
75/500 = x/360
x = 54 degrees