SOLUTION: An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the

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Question 702150: An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides.
Answer by lwsshak3(11628) About Me  (Show Source):
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An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides.
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Standard form of equation for an ellipse with horizontal major axis:
%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1, a>b, (h,k)=(x,y) coordinates of center
For given ellipse:
center: (0,0)
length of horizontal major axis=10=2a
a=5
a^2=25
length of minor axis=4=2b
b=2
b^2=4
Equation for given ellipse: x%5E2%2F25%2By%5E2%2F4=1