Introduction
Central and Inscribed Angles

The spokes of a bicycle tire.

There are special relationships that exist between angles and the arcs that they intercept. Get ready to explore these special relationships. By the end of this topic, you will be able to solve problems related to central angle and inscribed angles in a circle.

Essential Question

 

Warm-Up

A circle diagram

Warm-up iconBefore you begin your study of the central and inscribe angles in a circle, focus your attention on ∆ABC. Do not worry about the circle as you try to answer the first question; instead, use what you already know about triangles. For the second question, use the entire diagram to answer the question. Hover your cursor over each rectangle below to review the answer to each question.

Question 1

Rollover Image 1: Q. What is the measure of angle ABC? A. 70-degrees

Question 2

Rollover image 2: Q. What do you notice about the angles of the triangle and the arcs of the circle? A. For each angle, the opposite arc is double its measure.