Question

The table shows information about the meals

ordered at a restaurant.
Meal ordered
Frequency
Sandwich
11
Curry
12
Salad
7
If this information was shown on a pie chart,
how many degrees should the central angle of
the section that represents curry be?

Answer 1

144°

Explanation:

The central angle of a sector in a pie chart is proportional to the fraction the represented data is of the whole.

__

fraction

The total number of meals ordered at the restaurant was ...

11 +12 +7 = 30

The fraction of those that were Curry was ...

12/30 = 2/5

angle

Then the central angle of the sector representing Curry will be 2/5 of the circle, or ...

2/5 × 360° = 144°

The central angle of the section representing Curry will be 144°.