# Surface Area Of A Cone, Cone Surface Area Calculator

## How To Find The Surface Area Of Cone?

Let's look at the geometric characteristics of a cone. But first, please review the definition of Surface Area Of Three-Dimensional Shapes.
• A cone is a two dimensional circle with height; with height it becomes a three dimensional shape.
• The trick to determining the surface area of a cone is understanding the base of the cone is a circle. The area of a circle is half the formula: Area Of A Circle. The area of a circle formula is "pi" times radius × radius which equals πr2.
• The second part of the formula is to compute the surface area of the Cone above the base. Let us call L the slant-Length. Slant-Length = L = distance between the cone tip and the base. The formula for the surface area of a Cone is πrL.
• Special note, the Base, Radius of the base and Length of a Cone must be greater than zero.

Surface Area Of A Cone
Surface Area = (Base) + (π × radius × Length) =
Surface Area = (πr2) + (π × radius × Length) =
Surface Area = π × radius2 + π × radius × Length =
Surface Area = πr2 + πrL =
Surface Area = π × r × (r + L)

Image Of A Three Dimensional Cone

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