Area of a Circle

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

This SWBQ introduces the use of curvilinear coordinates.

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.