# Ch 27: Compass Math: Area, Circumference & Perimeter

### About This Chapter

## Compass Math: Area, Circumference & Perimeter - Chapter Summary

As you work through the brief, engaging, mobile-accessible videos in this chapter, you'll get illustrations of the area, circumference and perimeter concepts and calculations you're likely to need to understand when you take the Compass Math placement test, such as:

- Implementation of the Pythagorean theorem
- Calculating the area of a rectangle or triangle
- Finding the area of four-sided shapes and combined figures
- Determining circumference and area of circles
- Polygon perimeter calculations

After each video, you'll see a short quiz that lets you practice the measurements and calculations demonstrated in the lesson. If you get hung up on a quiz question or have concerns about the material from this chapter, let our instructors know.

### Objectives of the Compass Math: Area, Circumference & Perimeter Chapter

Use this arsenal of great study resources to help you master the area, circumference and perimeter calculations and measurements you must answer questions about during the Compass Math assessment. Our lesson quizzes mimic the Compass format so that you walk in on test day knowing what to expect.

There's no need to fret if your school has asked you to take the Compass Math placement exam. The results will be used simply to select the appropriate math course for you. The test is not timed, and it is administered by computer. It will adjust the difficulty of the questions it asks you based on how well you're performing as you take the exam.

### 1. The Pythagorean Theorem: Practice and Application

The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.

### 2. 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.

### 3. 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.

### 4. 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.

### 5. 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.

### 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. Finding the Perimeter of Polygons

In this video lesson, you will learn the process you need to take to find the perimeter of polygons. You will also learn that there is a shortcut if your polygon is a regular polygon.

### 8. Combined Figures: Perimeter, Area, and Volume

Watch this video lesson to learn how you can break up the shapes in a combined figure to easily find the perimeter, area, and volume of the whole figure.

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### Other Chapters

Other chapters within the ACT Compass Math Test: Practice & Study Guide course

- Compass Math: Integers
- Compass Math: Decimals
- Compass Math: Fractions
- Compass Math: Exponents
- Compass Math: Roots & Radicals
- Compass Math: Percents
- Compass Math: Ratios, Rates & Proportions
- Compass Math: Median, Mean & Mode
- Compass Math: Algebraic Equations & Expressions
- Compass Math: Linear Equations
- Compass Math: Substituting Values
- Compass Math: Monomials & Polynomials
- Compass Math: Factoring Polynomials
- Compass Math: Matrices & Absolute Value
- Compass Math: Inequalities
- Compass Math: Complex Numbers
- Compass Math: Logarithms
- Compass Math: Basic Geometry
- Compass Math: Lines & Angles
- Compass Math: Polygons
- Compass Math: Triangles
- Compass Math: Quadrilaterals
- Compass Math: Circles
- Compass Math: Similar Figures
- Compass Math: Complex Figures
- Compass Math: Constructions
- Compass Math: Mathematical Modeling
- Compass Math: Quadratics
- Compass Math: Quadratic Functions
- Compass Math: Trigonometric Functions
- Compass Math: Rational Functions
- Compass Math: Function Operations
- Compass Math: Trigonometric Identities
- Compass Math: Trigonometric Equations
- Compass Math: Trigonometric Applications
- Compass Math: Trigonometric Graphs
- Compass Math: Graph Symmetry
- Compass Math: Polar Coordinates & Parameterization