MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change
Problem
A circle of radius r is divided into n equal sectors. The sectors are rearranged alternately, tip to base, to form a shape that resembles a parallelogram whose one side is approximately half the circumference of the circle. Show that, as n becomes very large, the area of this shape approaches πr2.