Problem #155

Given an ellipse, draw three lines through the center of the ellipse so that adjacent lines are 60 degrees apart as shown in the figure below. Denote the distance from the center of the ellipse to the ellipse along each of these lines by p,q, and r respectively. Find a formula for the area of the ellipse in terms of p,q, and r.

Back to the Advanced Problem Archives

Back to the Math Department Homepage.