Mathematics Principles V11

Clive W. Humphris

SURFACE AREA and SYMMETRY: Surface Area of a Cone.  

A cone is a solid whose base is a circle and whose side tapers to a point, called the vertex or apex and whose height is a vertical line between the base and the apex. The slant height is the length of the side from base to the apex.

If a cone is slit up the side and laid flat it will form the sector of a circle.

To find the total surface area of a cone we first calculate the area of the sector and add this to the base area. To enable us to draw the sector shape we would then need to calculate its angle ΓΈ using the formulae shown.

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