Ch 11: Big Ideas Math Geometry Chapter 11: Circumference, Area, and Volume

About This Chapter

The Circumference, Area and Volume chapter of this Big Ideas Math Geometry Companion Course aligns with the same chapter in the Big Ideas Math Geometry textbook. These simple and fun video lessons are about five minutes long and help you learn the essential lessons about determining the circumference, area and volume of different shapes.

How It Works:

  • Find the lesson within this chapter that corresponds to what you're studying in the Circumference, Area and Volume chapter of your textbook.
  • Watch fun videos that cover the circumference, area and volume concepts you need to learn or review.
  • Complete the quiz after watching each video lesson to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material, or submit a question for one of our instructors.

Chapter Topics

You'll learn all of the geometry topics covered in the textbook chapter, including:

  • Definitions of circumference and arc length
  • Finding the area and circumference of circles
  • Formulas for determining the area of a sector, rhombus, kite and regular polygon
  • What platonic solids are
  • How to find volume in cylinders, prisms, pyramids, cones and spheres

Big Ideas Math is a registered trademark of Larson Texts, Inc., which is not affiliated with Study.com.

15 Lessons in Chapter 11: Big Ideas Math Geometry Chapter 11: Circumference, Area, and Volume
Test your knowledge with a 30-question chapter practice test
What is Circumference? - Definition & Equation

1. What is Circumference? - Definition & Equation

In this lesson, you'll learn how to define and find the circumference of a circle using two equations: one that involves the diameter and another that involves the radius.

Arc Length: Definition & Equation

2. Arc Length: Definition & Equation

Arc length is an important aspect to understanding portions of curved lengths. As you will learn in this lesson, combining our knowledge of circumference and central angle measures allows us to find arc length.

Circles: Area and Circumference

3. Circles: Area and Circumference

Understanding how to calculate the area and circumference of circles plays a vital role in some of our everyday functions. They serve as the foundation for operating with three-dimensional figures. Learn more about the area and circumference of circles in this lesson.

Finding the Area of a Sector: Formula & Practice Problems

4. Finding the Area of a Sector: Formula & Practice Problems

In this lesson, you'll review your knowledge of circle vocabulary and then discover how to calculate the area of a sector of a circle. The lesson covers finding the area of the sector using degrees and radians.

Measuring the Area of a Rhombus: Formula & Examples

5. Measuring the Area of a Rhombus: Formula & Examples

Did you know that there are three ways to find the area of a rhombus? Watch this video lesson to learn all three of them. See what information you need for each method as well as the steps required for each.

Area of a Kite: Formula & Examples

6. Area of a Kite: Formula & Examples

In this lesson, we'll learn the mathematical definition of a kite and see what this shape looks like. We'll then take things a step further and learn how to use a formula to find the area of a kite.

Measuring the Area of Regular Polygons: Formula & Examples

7. Measuring the Area of Regular Polygons: Formula & Examples

Watch this video lesson to learn why a regular polygon makes your life easier when it comes to finding the area inside one. Learn the one formula for area that will work for any type of regular polygon.

What Are Platonic Solids? - Definition and Types

8. What Are Platonic Solids? - Definition and Types

Watch this video lesson, and you will learn that there are only five platonic solids in the whole world. You will also learn what they look like and see real-life examples.

Cross Section: Definition & Example

9. Cross Section: Definition & Example

This lesson will define cross sections. We will look at famous types of cross sections called conic sections, how cross sections show up in the world around us, and how the study of these is useful in various real world scenarios.

Cross-Sections of 3D Figures & Revolutions of Solids

10. Cross-Sections of 3D Figures & Revolutions of Solids

In this lesson, we will study the connections between 2-dimensional and 3-dimenstional shapes by looking at the similarities between their nets, cross sections, and revolutions.

What Are Cylinders? - Definition, Area & Volume

11. What Are Cylinders? - Definition, Area & Volume

Watch this video lesson to learn why soda cans are cylinders and the method by which you can discover how much soda can fit inside by finding the volume. You will also learn about finding a cylinder's surface area.

Prisms: Definition, Area & Volume

12. Prisms: Definition, Area & Volume

Watch this video lesson and you will see that there are different kinds of prisms. You will also learn how to separate a prism into its various parts so you can easily find the surface area. You will also learn the formula for the volume.

Pyramids: Definition, Area & Volume

13. Pyramids: Definition, Area & Volume

Do you think of the great pyramids of Egypt when you hear the word pyramids? Watch this video lesson to learn why they are called pyramids and also how to find their surface area and volume.

Cones: Definition, Area & Volume

14. Cones: Definition, Area & Volume

Watch this video lesson to learn where in the real world you will see cones. Also, you will learn the formulas for finding the surface area and volume of these cones.

Spheres: Definition, Area & Volume

15. Spheres: Definition, Area & Volume

Watch this video lesson to learn how you can find the surface area and volume of spheres. Learn the formulas and measurements you need to solve problems and discover how to identify spheres in the real world.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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