Chopping elliptical area from a rectangle

Assume I have a rectangle of 15m x 9m. There are balls placed 0.5m away in both directions INSIDE the rectangle. I want to chop up an elliptical area who’s major and minor axes are 15m & 9m. How many balls would there be in that area?

[John D'Errico]

And what does this have to do with MATLAB?

We try not to do your homework. After all, it was assigned to you, not us, so we won't get credit for any work we do. And while I completely trust that you would give full credit to us as a footnote to your instructor, it would be best if you give us the name and full e-mail address of that person, so we can send any answers directly to them.

In the event that you actually do manage to make an effort here and have a question that is indeed about MATLAB, then post it as a question. Show what you have done, and explain what is your problem.

[Zubaer]

Thanks for your reply. I understand it was stupidity of mine. I have been trying for 2 days to crack down the algorithm. I should push a little bit more.

Answer 1

[Image Analyst]

It depends on how many balls are in the box. Are there 2? Are there 200? More? Should you randomly place them? Should you do a Monte Carlo experiment? Is the answer simply

numberOfBalls = 300; % Whatever...
ballsInEllipse = numberOfBalls*(pi*a*b) / (2*a * 2*b)

which is the area fraction as given by geometry times the number of balls in the ellipse? Show us your code so we can help.