Table of Contents

Area of a Circle

Prompt

“Write down an integral for the area of a circle of radius 2.”

Context

This SWBQ introduces the use of curvilinear coordinates.

Wrap Up

Discuss different ways of chopping up the interior of a circle, such as:

  • Using vertical strips (the area between curves) and single integration;
  • Using small rectangles and double integration;
  • Using annuli (the area between circles) and single integration;
  • Using polar rectangles and double integration.

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