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. 360 100 A central angle has the center of a circle for its vertex the rays are radii of the circle

92 people liked cherry pie. If 400 people were surveyed, how many people like cherry pie? Percentage Proportion part = % whole 100 x ___ ___ 23 = 400 100 x = 92 92 people liked cherry pie.

part = % whole 100 x ___ ___ 8 = 400 100 x = 32 If 400 people were surveyed, how many people like pecan pie? Percentage Proportion part = % whole 100 x ___ ___ 8 = 400 100 x = 32 32 people liked pecan pie.

25 students play the violin. (2007) part = % whole 100 15 ___ ___ x = 60 100 x = 25 25 students play the violin.

(2008)

Step 2 - Calculate the percent by multiplying the decimal by 100. Complete the table to show the data. Round to the nearest whole number. Then make a circle graph to represent the data. Step 1 - Calculate the decimal by dividing the number of each category by the total. Step 2 - Calculate the percent by multiplying the decimal by 100. Check to make sure the percents total 100% . Step 3 - Calculate the central angle by multiplying the decimal by 360 ο. Check to make sure the degrees total 360 ο. 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 35% 20% 25% 5% 15% 0.35 x 360ο = 126 0.2 x 360ο = 72ο 0.2 x 360ο = 90ο 0.05 x 360ο = 18ο 0.15 x 360ο = 54ο 200 TOTAL 100% 360 ο

Step 4 - Construct a circle graph for this data 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 Corn 35%

Step 4 - Construct a circle graph for this data 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 Corn 35% Soybeans 20%

Step 4 - Construct a circle graph for this data 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 Corn 35% Soybeans 20% Fallow 25%

Step 4 - Construct a circle graph for this data 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 Corn 35% Soybeans 20% Fallow 25% \ Mixed Veg. 5%

Step 5 - Title the graph. Label each sector with a name and percent. Step 4 - Construct a circle graph for the data. Label each sector with a name and percent. Step 5 - Title the graph. Label each sector with a name and percent. Division of Crops Division of Crops CROP PERCENT CENTRAL ANGLE Corn 35% 126ο Soybeans 20% 72ο Fallow 25% 90ο Mixed Vegetables 5% 18ο Wheat 15% 54ο Corn 35% Soybeans 20% Wheat 15% Fallow 25% \ Mixed Veg. 5%

Favorite Ice Cream Flavors Ice Cream Flavor Number of Classmates 2) The table below shows the favorite ice cream flavors of Alexis' 25 classmates. Using your protractor, create a circle graph to display this data. Favorite Ice Cream Flavors Ice Cream Flavor Number of Classmates DECIMAL PERCENT CENTRAL ANGLE Vanilla 4 Chocolate 10 Mint 6 Strawberry 5 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 ο 100% 360 ο TOTAL 25 Be sure to ·title your circle graph ·label each section of your circle graph

Favorite Ice Cream Flavors Ice Cream Flavor PERCENT CENTRAL ANGLE 2) The table below shows the favorite ice cream flavors of Alexis' 25 classmates. Using your protractor, create a circle graph to display this data. FAVORITE ICE CREAM FLAVORS Favorite Ice Cream Flavors Ice Cream Flavor PERCENT CENTRAL ANGLE Vanilla 16% 57.6 ο Chocolate 40% 144 ο Mint 24% 86.4 ο Strawberry 20% 72 ο Strawberry 20% Vanilla 16% Mint 24% Chocolate 40% Be sure to ·title your circle graph ·label each section of your circle graph

3) Central Angle .15 x 360 = 54o .20 x 360 = 72o .55 x 360 = 198o (2006) Other expenses 10% Central Angle .15 x 360 = 54o .20 x 360 = 72o .55 x 360 = 198o .10 x 360=36o Supplies 20% Newsletter 15% Special Activities 55%

NOTEBOOK COLORS Blue 50% Green Yellow 10% 25% Red 15% 4) (2008) NOTEBOOK COLORS 1) Blue 50% 90/360 = .25 = 25% Green 10% Yellow 25% 54/360 = .15 = 15% Red 15% 36/360 = .1 = 10% TOTAL = 100% 2)

5) 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. Butterflies Collected Butterflies Collected Type of Butterfly Number of Classmates Monarch 20 Red Admiral 11 Painted Lady 3 Viceroy 16 Percent 40% 22% 6% 32% Degrees 144 79.2 21.6 115.2 Monarch 40 % Red Admiral 22 % Viceroy 32 % | Painted Lady 6 % Be sure to ·title your circle graph ·label each section of your circle graph