SOLUTION: A 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

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Question 1144984: A 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
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The major axis has length 10; the minor axis has length 8. So the semi-major axis is 5 and the semi-minor axis is 4.

Assuming a center of (0,0) and a horizontal major axis, the equation is

x%5E2%2F5%5E2%2By%5E2%2F4%5E2+=+1

or

x%5E2%2F25%2By%5E2%2F16+=+1%29