Plywood Ellipse A carpenter wishes to construct an elliptical table top from a ft by ft sheet of plywood. He will trace out the ellipse using the “thumbtack and string” method illustrated in Figure and . What length of string should he use, and how far apart should the tacks be located, if the ellipse is to be the largest possible that can be cut out of the plywood sheet?
The length of a string to be used to cut out the plywood sheet and how far apart should the tacks be located.
The length of the major axis is and length of the minor axis is .
The equation of an ellipse is,
The length of the major axis is .
The length of the minor axis is … (2)
The vertices are .
The foci are .
From equation (2),
The vertices will be
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