I had the answer the day that you posted the thread but I didn't know how to post a drawing to a thread, so I just stuck with it 'til I got it done.

If you were to make the drawing above to full scale (9" circle) and project the corners of the segments down to the ellipse, drawn to the same dimensions as the cake dish, then draw from the center of the ellipse to the ends of the projection lines, the resulting segments of the ellipse will have equal areas. If yhou then extended the radiating segment lines a couple of inches beyoun the ellipse you could set the dish with the cake in it on the ellipse & cut from the center of the cake to the radiating segments and each piece of the cake will contain the same volume. This will work with either an even or an odd number of pieces of cake.

Maybe you could keep this in mind for the next time you get caught in the same or similar circumstances, then again maybe not.

gumper

If you were to make the drawing above to full scale (9" circle) and project the corners of the segments down to the ellipse, drawn to the same dimensions as the cake dish, then draw from the center of the ellipse to the ends of the projection lines, the resulting segments of the ellipse will have equal areas. If yhou then extended the radiating segment lines a couple of inches beyoun the ellipse you could set the dish with the cake in it on the ellipse & cut from the center of the cake to the radiating segments and each piece of the cake will contain the same volume. This will work with either an even or an odd number of pieces of cake.

Maybe you could keep this in mind for the next time you get caught in the same or similar circumstances, then again maybe not.

gumper

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