Ch 36: SHSAT Math: Circular Arcs & Measurement

About This Chapter

Watch the short videos in this chapter as you study for the SHSAT. You can get a clear understanding of circular arcs and measurement then take lesson quizzes and a chapter exam to gauge how much you know about the subject.

SHSAT Math: Circular Arcs & Measurement - Chapter Summary

This chapter offers a variety of lessons you can use to strengthen your knowledge of circular arcs and measurements. Reviewing the videos can help you answer questions on the SHSAT related to the following:

  • Defining circular arcs and circles
  • Finding the measure of an arc and inscribed angle
  • Describing the tangent of a circle and related theorems
  • Understanding measurements of angles and lengths involving tangents, chords and secants
  • Explaining the construction of inscribed and circumscribed figures
  • Identifying parts of regular polygons
  • Finding the area of sectors of a circle and defining the arc length of a sector

You can study for the exam by singling out the lessons in this chapter you need to review most and watching those first. The full transcript of each lesson found below the videos features easily identifiable vocabulary words that provide greater insight into concepts you might not fully understand.

Objectives of the SHSAT Math: Circular Arcs & Measurement Chapter

The SHSAT is a test taken by students in the 8th and 9th grades who want to attend New York City specialized high schools. The exam is broken into verbal and math sections, with the math portion being composed of 50 multiple-choice questions. The highest composite score a student can earn on the test is 800. Schools rank students interested in admission by these scores, choosing individuals with the highest until they run out of attendance space.

To increase your chances of getting a high score on the exam and being admitted into your first school of choice, use the resources in this SHSAT Math: Circular Arcs & Measurement chapter. You can take short self-assessment quizzes to test your understanding of the video lessons. A chapter exam is also available to give you a more extensive review of the lessons.

9 Lessons in Chapter 36: SHSAT Math: Circular Arcs & Measurement
Test your knowledge with a 30-question chapter practice test
Circular Arcs and Circles: Definitions and Examples

1. Circular Arcs and Circles: Definitions and Examples

What is a circle? In this lesson, find out all about the circle and its many parts, including circular arcs and semicircles. Also, discover how a locus works in creating a circle, parallel lines and more.

Measure of an Arc: Process & Practice

2. 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.

How to Find the Measure of an Inscribed Angle

3. 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.

Tangent of a Circle: Definition & Theorems

4. Tangent of a Circle: Definition & Theorems

What happens when a line just barely touches a circle? It's a tangent! In this lesson, we'll learn all about tangents to circles, including a few key theorems. We'll also look at tangent circles.

Measurements of Angles Involving Tangents, Chords & Secants

5. 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.

Measurements of Lengths Involving Tangents, Chords and Secants

6. Measurements of Lengths Involving Tangents, Chords and Secants

The lengths of chords, tangents and secants take on unique relationships when they're drawn on circles. In this lesson, we'll define those relationships and see them in action.

Inscribed and Circumscribed Figures: Definition & Construction

7. Inscribed and Circumscribed Figures: Definition & Construction

A square and a circle may be different shapes, but they still can have a unique relationship. In this lesson, we'll learn about inscribed and circumscribed figures.

Regular Polygons: Definition & Parts

8. Regular Polygons: Definition & Parts

What makes a polygon a polygon? And what shapes are considered polygons? In this lesson, find out the answers to these questions and more as we learn all about polygons and their parts.

Arc Length of a Sector: Definition and Area

9. 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.

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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