Copyright

Ch 8: Discovering Geometry Chapter 8: Area

About This Chapter

The Area chapter of this Discovering Geometry Companion Course aligns with the same chapter in the Discovering Geometry textbook. These simple and fun video lessons are about five minutes long and help you learn the essential lessons about measuring figures and determining size. DISCOVERING GEOMETRY is a registered trademark of Angela H. Snead. Study.com has no affiliation with and is not endorsed by Angela H. Snead, by Michael Serra, the author and copyright holder of Discovering Geometry: An Investigative Approach; or by Kendall Hunt Publishing, the textbook's publisher.

How It Works:

  • Find the lesson within this chapter that corresponds to what you're studying in the Area chapter of your textbook.
  • Watch fun videos that cover the mathematical 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 math topics covered in the textbook chapter, including:

  • How to measure the area of a rectangle
  • How to calculate the area of a parallelogram
  • How to calculate the area of rectangles and triangles
  • How to figure the area of a trapezoid
  • How to solve the area of complex figures
  • How to measure the area of polygons
  • How to determine the area and circumference of circles
  • The meaning of the arc length of a sector
  • How to calculate the area of a segment, annulus and sector of a circle
  • The definition of a surface area

9 Lessons in Chapter 8: Discovering Geometry Chapter 8: Area
Test your knowledge with a 30-question chapter practice test
Measuring the Area of a Rectangle: Formula & Examples

1. Measuring the Area of a Rectangle: Formula & Examples

Look around you, and you see rectangles all over the place. And if you see paint, carpet, or anything that covers a rectangular area, you can be sure that someone has measured the area of the rectangle. Watch this video lesson to learn more.

Measuring the Area of a Parallelogram: Formula & Examples

2. Measuring the Area of a Parallelogram: Formula & Examples

Watch this video lesson to learn the simple formula to find the area of a parallelogram. Learn what measurements you need, how to label your parallelogram, and how to use the formula.

Area of Triangles and Rectangles

3. Area of Triangles and Rectangles

How do you find out the area of rectangles and triangles? Learn how in this lesson! We'll look at the formulas, then practice solving problems for each shape.

Measuring the Area of a Trapezoid

4. Measuring the Area of a Trapezoid

In this video lesson, you will watch and learn how you can find the area of trapezoid. Learn what measurements you need to have on hand as well as the formula that you need to use.

Area of Complex Figures

5. Area of Complex Figures

Finding the area of shapes isn't always as simple as it is with squares and rectangles. In this lesson, you'll learn how to find the area of complex figures. This includes finding the area of unusual shapes and finding the area of parts of shapes.

Measuring the Area of Regular Polygons: Formula & Examples

6. 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.

Circles: Area and Circumference

7. 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.

Arc Length of a Sector: Definition and Area

8. Arc Length of a Sector: Definition and Area

In this lesson, we'll slice up a circle like it's a pizza and learn how to find out useful information about our slices. We'll find out the area of these sectors, or pie slices. We'll also learn about arc lengths.

What is Surface Area? - Definition & Formulas

9. What is Surface Area? - Definition & Formulas

In this lesson, you use general and specific formulas to learn how to find the surface area of three-dimensional shapes, such as cubes, prisms, spheres, cones and cylinders.

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

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Support