In this video, Dr. Stewart shows how one can calculate the area of various polygons which are inscribed inside a circle. Specifically, the percentages of the area of the circle covered by an equilateral triangle, a square, and an octagon are calculated. The student is encouraged to calculate the pentagon, hexagon, and the septagon solutions and compare with those given in the class. Various algebraic techniques are utilized including, similar triangles, the Pythagorean Theorem, and trigonometry. These types of problems are popular on the ACT and SAT College Entrance Exams.
This video is suitable for anyone in Algebra II, PreCalculus, and Calculus.