An elliptical riding path is to be built on a rectangular piece of property as shown below.

A vertical ellipse is shown centered on the coordinate plane, surrounded by a rectangle of equal length and width.

The rectangular piece of property measures 10 miles by 8 miles. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides

Question

15 September, 13:28

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Kody Estrada · Answer 1

A = 8/2 = 4

b = 10/2 = 5

Equation of ellipse is given by x^2/a^2 + y^2/b^2 = 1

x^2/4^2 + y^2/5^2 = 1

x^2/16 + y^2/25 = 1