About This Chapter
How It Works:
- Identify the lessons in the Glencoe Math Connects Area and Volume chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the area and volume topics you need to learn or review.
- Complete the quizzes 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.
Students will learn:
- How to find the perimeter of rectangles and triangles
- The definition and formulas for surface area
- The area and circumference of circles
- Definitions and examples for inscribed and central angles
- To calculate the measure of an inscribed angle
- How to measure an arc
- How to measure angles connecting tangents, secants and chords
- Finding the area of complex figures
- Calculating volume and area of prisms, cylinders, pyramids, cones and spheres
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1. Perimeter of Triangles and Rectangles
Without realizing it, we calculate and use the perimeter of triangles and rectangles in regular everyday situations. Learn more about the perimeter of triangles and rectangles in this lesson, and test your knowledge with a quiz.
2. 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.
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.
4. Central and Inscribed Angles: Definitions and Examples
When we're working with circles, there are two key angles to know: central angles and inscribed angles. These angles have a few special theorems, which we'll discuss and practice using in this lesson.
5. How to Find the Measure of an Inscribed Angle
Finding the measure of an inscribed angle requires knowing a little information. In this lesson, we'll find the measure of an inscribed angle when we know the measure of the central angle or one or more of the arcs formed by the angle.
6. Measure of an Arc: Process & Practice
What is the measure of an arc? And what is the difference between a minor arc and a major arc? Find out all that and practice finding the measure of an arc in this lesson.
7. Measurements of Angles Involving Tangents, Chords & Secants
When lines and circles meet, angles are formed. Fortunately, we can determine the measure of these angles, whether they're formed by tangents, secants or chords, just by knowing the measure of the created arcs.
8. 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.
9. 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.
10. 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.
11. 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.
12. 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.
13. 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.
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Other chapters within the Glencoe Math Connects: Online Textbook Help course
- Glencoe Math Connects Chapter 1: Rational Numbers and Percent
- Glencoe Math Connects Chapter 2: Real Numbers and Monomials
- Glencoe Math Connects Chapter 3: Equations and Inequalities
- Glencoe Math Connects Chapter 4: Multi-Step Equations and Inequalities
- Glencoe Math Connects Chapter 5: Expressions and Functions
- Glencoe Math Connects Chapter 6: Linear Functions and Systems of Equations
- Glencoe Math Connects Chapter 7: Two- and Three-Dimensional Geometry
- Glencoe Math Connects Chapter 8: Triangles and Transformations
- Glencoe Math Connects Chapter 9: Units of Measure
- Glencoe Math Connects Chapter 10: Data Analysis and Statistics
- Glencoe Math Connects Chapter 11: Probability and Combinations