Aim: How do we graph data on a circle graph?

A central angle has the center of a circle for its vertex the rays are radii of the circle

A circle graph represents data as a part of a whole using a circle.

A circle graph is sometimes called a pie chart.

A circle measures ________ degrees and represents ________ percent.

360100

Aim: How do we graph data on a circle graph?

If 400 people were surveyed, how many people like cherry pie?

part = %whole 100

x

x = 92

100

Percentage Proportion

400___ = 23___

92 people liked cherry pie.

Aim: How do we graph data on a circle graph?

If 400 people were surveyed, how many people like pecan pie?

part = %whole 100

x

x = 32

100

Percentage Proportion

400___ = 8___

32 people liked pecan pie.

Aim: How do we graph data on a circle graph?

(2007)

part = %whole 100

15

x = 25

10060___ = x___

25 students play the violin.

Aim: How do we graph data on a circle graph?

(2008)

Aim: How do we graph data on a circle graph?

Step 3 - Calculate the central angle by multiplying the decimal by 360 ο.

Step 2 - Calculate the percent by multiplying the decimal by 100.

Division of Crops

CROP AREA (ACRES) DECIMAL PERCENT CENTRAL ANGLE

Corn

Soybeans

Fallow

Mixed Vegetables

Wheat

70

40

50

10

30

70/200=0.35

40/200=0.2

50/200=0.25

10/200=0.05

30/200=0.15

Step 1 - Calculate the decimal by dividing the number of each category by the total.

35%

20%

25%

5%

15%

0.35 x 360ο = 126

0.2 x 360ο = 72

ο

0.2 x 360ο = 90

ο

0.05 x 360ο = 18

ο

0.15 x 360ο = 54

ο

Complete the table to show the data. Round to the nearest whole number. Then make a circle graph to represent the data.

100% 360 ο

Check to make sure the percents total 100% .

Check to make sure the degrees total 360 ο.

TOTAL 200

Aim: How do we graph data on a circle graph?

Corn 35%

Step 4 - Construct a circle graph for this data. Label each sector with a name and percent.

Division of Crops

CROP PERCENT CENTRAL ANGLE

Corn 35% 126ο

Soybeans 20% 72ο

Fallow 25% 90ο

Mixed Vegetables

5% 18ο

Wheat 15% 54ο

Aim: How do we graph data on a circle graph?

Corn 35%

Step 4 - Construct a circle graph for this data. Label each sector with a name and percent.

Division of Crops

CROP PERCENT CENTRAL ANGLE

Corn 35% 126ο

Soybeans 20% 72ο

Fallow 25% 90ο

Mixed Vegetables

5% 18ο

Wheat 15% 54ο

Soybeans 20%

Aim: How do we graph data on a circle graph?

Corn 35%

Step 4 - Construct a circle graph for this data. Label each sector with a name and percent.

Division of Crops

CROP PERCENT CENTRAL ANGLE

Corn 35% 126ο

Soybeans 20% 72ο

Fallow 25% 90ο

Mixed Vegetables

5% 18ο

Wheat 15% 54ο

Soybeans 20%

Fallow 25%

Aim: How do we graph data on a circle graph?

Corn 35%

Step 4 - Construct a circle graph for this data. Label each sector with a name and percent.

Division of Crops

CROP PERCENT CENTRAL ANGLE

Corn 35% 126ο

Soybeans 20% 72ο

Fallow 25% 90ο

Mixed Vegetables

5% 18ο

Wheat 15% 54ο

Soybeans 20%

Fallow 25%

\ Mixed Veg. 5%

Aim: How do we graph data on a circle graph?

\ Mixed Veg. 5%

Corn 35%

Step 4 - Construct a circle graph for the data. Label each sector with a name and percent.

Division of Crops

CROP PERCENT CENTRAL ANGLE

Corn 35% 126ο

Soybeans 20% 72ο

Fallow 25% 90ο

Mixed Vegetables

5% 18ο

Wheat 15% 54ο

Soybeans 20%

Fallow 25%

Wheat 15%

Step 5 - Title the graph. Label each sector with a name and percent.

Division of Crops

Aim: How do we graph data on a circle graph?The table below shows the favorite ice cream flavors of Alexis' 25 classmates.Using your protractor, create a circle graph to display this data.

Be sure to·title your circle graph·label each section of your circle graph

Be sure to·title your circle graph·label each section of your circle graph

2)

Favorite Ice Cream FlavorsIce Cream Flavor

Number of Classmates

DECIMAL PERCENT CENTRAL ANGLE

Vanilla 4Chocolate 10

Mint 6

Strawberry 5

25

4/25=0.16

10/25=0.4

6/25= 0.24

5/25 = 0.2

16%

40%

24%

20%

0.16 x 360 ο

= 57.6 ο

0.4 x 360 ο = 144

ο

0.24 x 360 ο = 86.4

ο

.2 x 360 ο = 72

ο100% 360 οTOTAL

Aim: How do we graph data on a circle graph?The table below shows the favorite ice cream flavors of Alexis' 25 classmates.Using your protractor, create a circle graph to display this data.

Be sure to·title your circle graph·label each section of your circle graph

Be sure to·title your circle graph·label each section of your circle graph

2)

Favorite Ice Cream FlavorsIce Cream Flavor PERCENT CENTRAL

ANGLEVanilla 16% 57.6

ο

Chocolate 40% 144 ο

Mint 24% 86.4 ο

Strawberry 20% 72 ο

FAVORITE ICE CREAM FLAVORS

Strawberry20%

Vanilla16%

Chocolate40%

Mint24%

Aim: How do we graph data on a circle graph?

3)(2006)

Newsletter15%

Supplies20%

Other expenses10%

Special Activities55%

Central Angle

.15 x 360 = 54o

.20 x 360 = 72o

.55 x 360 = 198o

.10 x 360=36o

Aim: How do we graph data on a circle graph?

1)

2)

(2008)

4)

90/360 = .25 = 25%

54/360 = .15 = 15%

36/360 = .1 = 10%

TOTAL = 100%

NOTEBOOK COLORS

Yellow25%

Blue50%

Green10%

Red15%

Aim: How do we graph data on a circle graph?

Butterflies Collected

Parker collected 50 butterflies for his collection last year. The butterflies were of four types. The table below shows how many of each type he collected. Using your protractor, create a circle graph to display this data.

Be sure to·title your circle graph·label each section of your circle graph

Be sure to·title your circle graph·label each section of your circle graph

5)

Percent

40%

22%

6%

32%

Degrees

144

79.2

21.6

115.2

Type of Butterfly

Number of Classmates

Monarch 20

Red Admiral

11

Painted Lady

3

Viceroy 16

Monarch 40 %

Red Admiral 22 %

|Painted Lady 6 %

Viceroy 32 %

Butterflies Collected