Conducted by BatStateU
, Started on 2013 -
Completed on 2014
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This paper is an original and basic research that will give the definition, the process of
construction and the formula for finding the area of a new geometric figure formed on a mathematical
problem of a goat tied in the corner of a shed. This new geometric figure was named as n-cardiod. The ncardiois
is the union of the arc
Xi
formed when a tension that measures half of the polygons perimeter is
tied at any vertex of closed
Pn
and is rotated in a clockwise and counter clockwise direction until it
touches the polygon, where
Pn
is a regular polygon with vertices
n
x , x ,..., x 1 2
, n sides and length of
sides s for all
n
. The area of the n-cardioid will be solved using the formula
2
2
24
5 4
s
n
A