Question

A student records the results of a brief survey of some classmates. If you were to represent the data with a pie chart, what is the angle for the sector for apples, oranges, and pears?

Student Favorite fruit
Mary apples
Tanya oranges
Luke oranges
Joey apples
Ken oranges
Lisa pears
Wanda pears
Sammy apples
Mitchell oranges

(a) apples

(b) oranges



(c) pears

Answer 1

We notice there are 3 Apples, 4 Oranges and 2 Pears, that make a total of 9.

Since the total central angles in a pie = 360° and since we have 9 sectors, so each sector will have a central angle of 360/9 = 40°. Hence:

3 Apples = 3 x 40° = 120° (a)

4 Oranges = 4 x 40° = 160° (b)

2 Pears = 2 x 40° = 80° (c)

PROOF: 120° + 160° + 80° = 360°

Explanation:

Answer 2

We notice there are 3 Apples, 4 Oranges and 2 Pears, that make a total of 9.

Since the total central angles in a pie = 360° and since we have 9 sectors, so each sector will have a central angle of 360/9 = 40°. Hence:
3 Apples = 3 x 40° = 120° (a)
4 Oranges = 4 x 40° = 160° (b)
2 Pears = 2 x 40° = 80° (c)
PROOF: 120° + 160° + 80° = 360°