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Question: How do I find the area of an ellipse using Monte Carlo

Question:How do I find the area of an ellipse using Monte Carlo

scientiapotentiaest94 5 Maple
integration area homework numeric ellipse
September 26 2020
1

Using the equation for an ellipse, how do I create a Monte Carlo simulation to find the area of the ellipse? I know you create an ellipse bordered by a rectangle and do say 1000 loops and then calculate the number of points inside the ellipse, find the ratio to the total number of points and multiply it by the area of the rectangle. I just am not sure how to code it to perform those operations. I struggle with creating loops in maple. 
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