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Mathematics
General Math
Prove slant surface of a cone is always a circular sector
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[QUOTE="Svein, post: 5499076, member: 538805"] [LIST=1] [*]You can draw a straight line from the apex to every point in the base. Thus the slanting side of the cone is a collection of straight lines, and can therefore be placed in a plane. [*]On a cone, the distance from the apex to the base is the same all around the cone. That means if you slit the cone from the apex to the base, the distance from the cone to the base is still the same at all points in the base - even if the base is cut somewhere. Therefore, the flattened image must be a part of a circle. [/LIST] [/QUOTE]
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Forums
Mathematics
General Math
Prove slant surface of a cone is always a circular sector
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