Mathematics Grade 6 15 min

Circle graphs and central angles

Circle graphs and central angles

What you'll learn

  • Identify the central angle and corresponding percentage represented by each sector in a given circle graph with at least 80% accuracy.
  • Calculate the measure of a central angle (in degrees) given its corresponding percentage in a circle graph, and vice versa, with 75% accuracy.
  • Construct a circle graph from a given set of data, correctly calculating central angles and representing data proportionally, as assessed by a rubric with clear success criteria.
  • Explain how a circle graph visually represents data and why the sum of all central angles in a circle graph must equal 360 degrees.

Tutorial Preview

1

A survey shows 25% of kids like apples. Find the central angle for apples.

2

A circle graph slice for 'Cats' has a 72° angle. What percentage of people chose cats?

3

Of 30 students, 6 chose blue. Find the central angle for 'Blue' on a circle graph.

Sample Practice Questions

Easy
A budget shows 50% is for rent. What is the central angle for rent?
0.50°
1.100°
2.180°
3.360°
Easy
10% of students walk to school. What is the central angle for 'Walk'?
0.10°
1.18°
2.36°
3.100°
Easy
A slice on a circle graph has an angle of 90°. What percentage is this?
0.25%
1.50%
2.90%
3.100%

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Frequently asked questions

What grade level is "Circle graphs and central angles"?

Circle graphs and central angles is a Grade 6 Mathematics lesson on ExcelOS.

What will I learn in Circle graphs and central angles?

You'll be able to: Identify the central angle and corresponding percentage represented by each sector in a given circle graph with at least 80% accuracy; Calculate the measure of a central angle (in degrees) given its corresponding percentage in a….

Is "Circle graphs and central angles" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Circle graphs and central angles?

This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.

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