Education Technology

# Activities

• ##### Subject Area

• Math: Geometry: Circles

9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• ##### Software

TI-Nspire™ CX
TI-Nspire™ CX CAS

5.0

## Circles - Angles and Arcs

#### Activity Overview

In this activity, students will investigate inscribed angles, central angles and intercepted arcs relationships in circles.

#### Objectives

• Students will know the definitions of and identify central angles, major and minor arcs, intercepted arcs, and inscribed angles of a circle.
• Students will determine and apply the following relationships: · Two inscribed angles intercepting the same arc have the same measure. · An inscribed angle measure of 90° results in the endpoints of the intercepted arc lying on a diameter. · The measure of an angle inscribed in a circle is half the measure of the central angle that intercepts the same arc.

#### Vocabulary

• Central angle
• Inscribed angle
• Major arc
• Minor arc
• Intercepted arc