Area Approximation for Polar Plot
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This Demonstration shows how the area bounded by a polar curve and two radial lines to can be approximated by summing the areas of sectors. The radii of the sectors can be based on midpoints, endpoints or random points. Select the checkbox to see the actual region being approximated. The area is approximated by . As , with all , the area approaches the integral .
Contributed by: Michael Waters (January 2017)
Open content licensed under CC BY-NC-SA
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"Area Approximation for Polar Plot"
http://demonstrations.wolfram.com/AreaApproximationForPolarPlot/
Wolfram Demonstrations Project
Published: January 10 2017