# Additional Example 2: Problem Solving Application - PowerPoint PPT Presentation

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Additional Example 2: Problem Solving Application. The circle graph shows the results of a survey about favorite types of muffins. Find the central angle measure of the sector that shows the percent of people whose favorite type of muffin is blueberry. 1. Understand the Problem.

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Additional Example 2: Problem Solving Application

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The circle graph shows the results of a survey about favorite types of muffins. Find the central angle measure of the sector that shows the percent of people whose favorite type of muffin is blueberry.

1

Understand the Problem

The answer is the measure of the

central angle that represents blueberry.

List the important information:

• The percent of people whose favorite

muffin is blueberry is 40%.

• The central angle measure of the sector that represents this group is 40% of the 360° of the circle.

3

Solve

Make a Plan

2

There are 360° in a circle. Since the sector is 40% of the circle graph, the central angle is 40% of the 360° in the circle.

40% of 360° = 0.40 · 360°

0.40 · 360° = 144°

Multiply.

The central angle of the sector is 144°.

4

Look Back

The 40% sector is less than half the graph, and 144° is less than half of 360°. Therefore, the answer is reasonable.

Try This: Example 2

The circle graph shows the results of a survey about the favorite types of muffins. Find the central angle measure of the sector that shows the percent of people whose favorite type of muffin is banana nut.

1

Understand the Problem

Try This: Example 2 Continued

The answer is the measure of the

central angle that represents banana nut.

List the important information:

• The percent of people whose favorite

muffin is banana nut is 35%.

• The central angle measure of the sector that represents this group is 35% of the 360° of the circle.

Circle Graphs

A graph made of a circle divided into sectors. Also called pie graph.

Parts of a Circle Graph

Graph Title – the title tells what the graph is representing.

Sectors – Each sector is one part of the whole circle.

Sector Labels – Each label tells what the sector represents.

The Perfect Pizza

55% cheese

15% sauce

30% pepperoni

How to make a circle graph

• Using a compass, draw a circle large enough to show all of your data.

• Determine how many sectors you will need in your graph. You will need to know the percentages of the whole of your data. Try to make the sector sizes look as close to the percentage of the circle as the percentage of your data.

• Label each sector and give your graph a title.

Activity Example

Survey your classroom for cafeteria favorites. Choose four different lunches and gather the data. Make a table to show data.

You must now change the numbers to percentages. To do this, change each number to a fraction.

10/25 8/25 5/25 2/25

Then divide the numerator by the denominator.

10/25=.40 8/25=.32 5/25=.20 2/25=.08

Then multiply the answer by 100

.40*100=40%

.32*100=32%

.20*100=20%

.08*100=8%

First you will need to divide your circle into approximate sectors to represent each percentage. Label each sector with the appropriate name and percentage.

Chicken 32%

Pizza 40%

Spaghetti 20%

Fish 8%

Finally, give your graph a title.

Favorite Lunch Foods

Chicken 32%

Pizza 40%

Spaghetti 20%

Fish 8%