Lesson Plan: Central Angles in a Circle Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to identify a central angle in a circle and find its measure using its properties.

Objectives

Students will be able to

  • understand what a central angle in a circle is,
  • find the measure of a central angle given its proportion of the whole angle of the circle,
  • find the measure of a central angle given the length of the arc that subtends it and the circumference of the circle,
  • find the measure of a central angle contained in a triangle using the total angle sum of the triangle.

Prerequisites

Students should already be familiar with

  • arcs and arc length,
  • number of degrees in a circle.

Exclusions

Students will not cover

  • circle theorems,
  • trigonometry.

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