Circle Graphs and Fractions

Exploration: Sectors and Circles

1.

There are six congruent circles drawn below. Use a protractor to divide the circles
into sectors that represent halves, thirds, fourths, fifths, sixths, and eighths, as
indicated.

Halves

Thirds

Fourths

Math Nation - Unit 7, Lesson 1 - Circle Graphs - Volume 1, PAGE 294

Labelling

Match each fractional name to the numerical fractions.

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Labelling

Now that you have found the fractions for each, now match those fractions with their percentages.

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about 17%

12.5%

50%

about 33%

25%

20%

Collaboration: Dividing Circles into Sectors

Math Nation - Unit 7, Lesson 1 - Circle Graphs - Volume 1, PAGE 295

In the Exploration, all of the circles were divided into congruent sectors.
Data displayed in circle graphs are not typically divided equally among
each category.

1.

Use the circle on the coordinate grid to answer the
following questions.

a.

Discuss with your partner how to divide the circle
into a half and two quarters.

b.

Use a straight edge to divide the circle. Label each
sector with the fraction and percentage of the
whole circle the sector represents.

Draw

Draw lines to divide this circle into a half and two quarter.

Labelling

Now that your circle graph is drawn, label the graph with the correct percentages and fractions.

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25%

50%

Labelling

Match the correct sum to each question.

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50% + 25% + 25% = 100%

Draw

Divide this circle into a half, a third, and a sixth.

Labelling

Now that you have divided your circle graph. Match the correct percentages and fractions to their sectors.

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50%

17%

33%

Labelling

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50% + 33% + 17% = 100%

Labelling

Drag and drop the answers to each prompt.

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1

100%

Guided Instruction: Determining Central Angle Measures

A diagram of a circle with four congruent sectors is shown.

Use the definition of a central angle to determine how many central angles are in
the circle with four congruent sectors.

Math Nation - Unit 7, Lesson 1 - Circle Graphs - Volume 1, PAGE 296

Hotspot

Complete the statements.

Math Response

What is that fraction in its simplest form?

(write your answer as a fraction)

Type answer here

Correct Answer: \frac{1}{4}

Deg^°

Rad

Labelling

Answer each question.

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straight angle

right angle

Math Response

If each central angle is $$180\degree$$ , you can represent that as the fraction $$\frac{180}{360}$$ . This is because a circle has a total of $$360\degree$$ . What is that fraction in its simplest form?

(write your answer as a fraction)

Type answer here

Correct Answer: \frac{1}{2}

Deg^°

Rad

Labelling

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Labelling

Complete the table.

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