Investigating the Equation and the Area of Ellipse Using Circular Cylinder Section Approach
H A Rohman (a*) and A Jupri (a)
(a) Departemen Pendidikan Matematika, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi No. 229, Bandung 40154, Indonesia
*Harun88pltg[at]upi.edu
Abstract
An ellipse can be obtained through the conic section, if the plane intersects one of the pieces of the cone and its axis but is not perpendicular to the axis, the intersection will be an ellipse. Besides that, a circular cylinder cut by a plane that has a slope between 0 degrees and 90 degrees against the base of the circular cylinder, the intersection forms an ellipse. The purpose of this study that 1) determine the equation of the ellipse in terms of the circular cylinder section approach and 2) determine the area of the ellipse in terms of the circular cylinder section approach. The method we used in this research is literature studies from several books that are relevant to research. The results showed that 1) the equation of ellipse can be derived from the approach of circular cylinder section and 2) the area of ellipse can be obtained using the circular cylinder section approach. We conclude using this circular cylinder section approach, we can obtain the same formula both for equation and area as the conic section.
Keywords: the circular cylinder section, the equation of ellipse, the area of ellipse
Topic: Mathematics Education