Ellipse function? O_o?

Question

The equation

(x^2 /16) + (y^2 /9) =1

is an ellipse with center at the origin. Find the area of the square that can be inscribed (or fitted) in this ellipse.

LOL a very difficult question

Answer 1

not really difficult.  "fit" means the corners of the square sit on the ellipse, and since both figures are symmetric with respect to both x and y axes, just replace y with x and solve.

x²/16 + x²/9 = 1

9x² + 16x² = 144

25x² = 144

x = ±12/5

so width (and height) are 24/5 and area is 576/25 = 23.04

Answer 2

http://answers.yahoo.com/question/index?...