In this lesson on areas and lengths using polar coordinates, students learn how to compute the area of a region in which R is between 0 and F of theta and theta is between angles alpha and beta, and how to find the length of a polar arc where r equals alpha theta for theta between alpha and beta. The lesson also includes examples such as finding the area inside a cardioid and the area between polar curves. Students are taught how to compute the perimeter of the cardioid, and they also learn how to find the length of the curve of r equals theta for theta between zero and two pi.
Area of a polar region; length of a polar arc.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.