Lesson Plan: Areas of Circular Segments | Nagwa Lesson Plan: Areas of Circular Segments | Nagwa

Lesson Plan: Areas of Circular Segments Mathematics • First Year of Secondary School

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This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the area of a circular segment.

Objectives

Students will be able to

  • derive and recall that the formula for the area of a circular segment with radius 𝑟, given an angle measure in radians, 𝜃, is 𝐴=12𝑟(𝜃𝜃)sin,
  • calculate the areas of major and minor segments given a radius, and the measure of an arc in radians (or degrees),
  • solve multistep problems to find the areas of segments given, for instance, the area of a sector and the radius of the circle,
  • solve word problems that involve calculating areas of circular segments.

Prerequisites

Students should already be familiar with

  • what is meant by a circular segment,
  • calculating areas of sectors,
  • calculating the area of a triangle using the formula 𝐴=12𝑎𝑏𝐶sin.

Exclusions

Students will not cover

  • calculating the perimeters of circular segments.

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