About This Chapter
Measurement of Geometric Shapes - Chapter Summary
This chapter is filled with bite-sized lessons you can access anytime to improve your understanding of the measurement of geometric shapes. Our qualified instructors ensure you comprehend how to measure the area, perimeter and circumference of triangles, circles, kites and more. By the end of this chapter, you will be able to do the following:
- Define and use the formula for perimeter and area in math
- Describe the properties of quadrilaterals, parallelograms, trapezoids and polygons
- Find the area of triangles and rectangles
- Solve right triangles using trigonometry and the Pythagorean theorem
- Determine the area and circumference of a circle
- Measure the area of a rhombus and kite
- Find the surface area and volume of a right prism
- Use volume formulas for cylinders, cones, prisms and pyramids
View the lessons in this chapter that will ensure you gain full comprehension of the measurement of geometric shapes. Feel free to navigate them in your sequence of choice and revisit them as often as you'd like. Find out how much you understand about lesson concepts by taking multiple-choice quizzes and a practice exam. Any questions you have about topics covered in this chapter can be submitted to our experts.
1. What is Perimeter? - Definition & Formula
In mathematics, the perimeter is the distance around a two-dimensional shape. The formula for finding the perimeter of certain shapes will be discussed in this lesson, and there will be some examples to help you understand how to calculate the perimeter.
2. What is Area in Math? - Definition & Formula
Area is the size of a two-dimensional surface. This lesson will define area, give some of the most common formulas, and give examples of those formulas. A quiz at the end of the lesson will allow you to work out some area problems on your own.
3. Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons
Four-sided objects are more than just squares and rectangles. In this lesson, we'll discuss quadrilaterals, parallelograms and trapezoids. We'll also discuss polygons, objects that can have more sides than you can count.
4. 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.
5. Solving Right Triangles Using Trigonometry & the Pythagorean Theorem
The Pythagorean Theorem is one of the most well-known and useful math equations. Its simple form and abundant uses make it one of the most helpful processes to learn in math. In this lesson, learn how to solve right triangles using the Pythagorean Theorem.
6. 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.
7. 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.
8. Trapezoid: Definition, Properties & Formulas
A trapezoid has one pair of parallel sides. Learn more about the properties and formulas of trapezoids in this lesson. A quiz following the lesson will allow you to solidify what you've learned.
9. 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.
10. How to Find the Surface Area of a Right Prism
Will it fit? Is there enough room? These questions involve the amount of area an object needs. In this lesson, you will learn how to find the surface area of a special solid figure called a right prism.
11. How to Find the Volume of a Right Prism
Can all of it fit inside? How much will it hold? These are questions that involve the volume of an object, and in this lesson, you will learn how to find the volume of a solid figure known as a right prism.
12. Volume Formulas for Pyramids, Prisms, Cones & Cylinders
Pyramids, prisms, cones, and cylinders are three-dimensional objects that show up everywhere in the world around us. This lesson teaches us how to find the volume of these objects and look at the relationships between their volumes.
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.
Other chapters within the ICAS Mathematics - Paper G & H: Test Prep & Practice course