In this assignment you will use a Monte Carlo Simulation to estimate the overlap between two Ellipses.

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Overlapping Eclipses

An ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve. — Wikipedia.

In this assignment you will use a Monte Carlo Simulation to estimate the overlap between two Ellipses.

 

Part 1: Ellipse Class (25 Points)

1. Write a class to capture the necessary information of an
2. Write code to thoroughly test your implementation of the ellipse class including:
   1. A constructor that accepts no variables,
   2. A constructor that accepts all appropriate
   3. Setting and getting the appropriate
   4. A function that returns the area of the ellipse
   5. A function that returns the circumference of the

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