Skip to content

Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions

Area of the Region Bounded by Two Polar Curves

Find areas between two polar curves: locate where they meet, subtract inner from outer with ½∫(outer² − inner²) dθ, and split where the boundary changes curves.

Topic 9.9 · 6 min read

This lesson comes with the AP Calculus BC plan

In this lesson

  1. 01Outer area minus inner area
  2. 02Finding where the curves meet
  3. 03When the boundary switches curves
  4. 04Worked examples
  5. 05Where students lose points
  6. 06On the exam

The first units’ lessons are free. The plan opens every lesson, every practice question with worked solutions, your study plan and calendar, for $14.49 a month. Cancel any time.

Create a free accountSign in