- #1

Alex_Shev

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- TL;DR Summary
- Distribution of inscribed in a circumference triangles by areas

Three randomly selected points on a circumference form an inscribed triangle with some area.

What is the probability that the resulting triangle will have an area greater than the predetermined value?

Many attempts has been made by me to solve this problem but no success at all. By solution I mean only obtaining an analytical dependence in general form.

Is there any way to solve it using only a pencil and a sheet of paper and no computer?

Any suggestions are welcome or maybe you already know how to solve it.

What is the probability that the resulting triangle will have an area greater than the predetermined value?

Many attempts has been made by me to solve this problem but no success at all. By solution I mean only obtaining an analytical dependence in general form.

Is there any way to solve it using only a pencil and a sheet of paper and no computer?

Any suggestions are welcome or maybe you already know how to solve it.