Abstract:
In different periods in history, mathematicians introduced formulas to calculate the perimeter
of an ellipse. Using the existing formula, the accurate perimeter of an ellipse cannot be measured as
they provide only an approximate value. In this research project, our main intense is to produce a
new formula to measure perimeter of an ellipse. For this purpose and to achieve our target, earlier
methods are studied. We understood that the arc length of the elliptical presently given by the
incomplete elliptical integral of the second kind, however a closed form solution of the elliptical
integral is unable to achieve our goal. At the next step of our study, we consider a first order
homogeneous function with constant and it was not difficult to determine values of constant using
equations in order to obtain required formula. After obtaining the formula the limitations and
comparisons are discussed.
