Description Usage Arguments Details Author(s) Examples

Provides the surface area of a cone with an elliptical base. For a circular cone, simply use Radius=radius.

1 |

`Radius` |
The Radius of the major axis of the base of the cone. |

`radius` |
The radius of the minor axis of the base of the cone. |

`hypotenuse` |
The hypotenuse of the height of the cone (if blank, determined from radius and height) |

`height` |
The height of the cone (if hypotenuse is known, leave height blank) |

`ends` |
To include the base area in surface area calculation, set ends = 1, otherwise set ends = 0. |

Calculates the surface are of a cone with an elliptical base.

Glenn J Tattersall

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | ```
## The function is currently defined as
function(Radius, radius=Radius, hypotenuse=NULL, height, ends=1)
{
if(is.null(hypotenuse)){
hypotenuse<-sqrt(height^2+Radius^2)
}
Area <- ends*pi*Radius*radius + pi*Radius*hypotenuse
Area
}
# Example calculation from a measure of a bird bill.
# Typically, a bird bill will be measured by its depth (d) at the base, its width (w) at the
# base and by its overall length. The length (l) is typically measured along the length of
# the culmen, and thus is a diagonal measure along the hypotenuse of the cone.
d<-12
w<-6
l<-18
areacone(Radius=d/2, radius=w/2, hypotenuse=l, height=NULL, ends=1)
# If the perpendicular cone height (h) is instead measured, rather than the hypotenuse, then
# substitute h for height and assign hypotenuse = NULL, to obtain the same result
h<-sqrt(l^2-(d/2)^2)
areacone(Radius=d/2, radius=w/2, hypotenuse=NULL, height=h, ends=1)
# To only show surface area of the exposed surface, and exclude the oval base of the cone
# set ends=0:
areacone(Radius=d/2, radius=w/2, hypotenuse=l/2, height=NULL, ends=0)
``` |

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