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Area Using Polar Coordinates
Polar Integral Formula

The area between the graph of r = r(θ) and the origin and also between the rays θ = α and θ = β is given by the formula below (assuming α β).

Formula:

        
Example:

Find the area of the region bounded by the graph of the lemniscate r2 = 2 cos θ, the origin, and between the rays θ = –π/6 and θ = π/4.


See also

Polar coordinates, area under a curve, area using parametric equations

 


  this page updated 19-jul-17
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
Copyright © 2000 by Bruce Simmons
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