SOLUTION: Find the equation of the outer edge of the elliptical pool table shown below. Assume the red ball is at the focus.
Here is the picture: http://imgur.com/a/qGevT
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Question 915212: Find the equation of the outer edge of the elliptical pool table shown below. Assume the red ball is at the focus.
Here is the picture: http://imgur.com/a/qGevT
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
If the pool table is longest at , then your , and if it is widest at , then
The equation for an ellipse at the origin is:
And plugging in:
That is your equation.
The foci are given as the points of distance from the center, where:
So solving for "
or
The foci are at (,) and (,)
vertices: (,) and (,)
center: (,)
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