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hey iamp;#39;m justin and i need to find a uniform random point inside of a circle how do i do that when i was first looking into this problem i was working on a coding project that demanded something to be randomly placed inside of a circle but i quickly fell down a surprisingly deep rabbit hole filled with lots of interesting math so i decided to compile my findings into this video i hope you enjoy it before thinking about circles letamp;#39;s simplify the problem and select a random point inside of a square to do this just pick a random x and y coordinate within the bounds of the square and thatamp;#39;s it now this can also be applied to circles in some cases like this one the point will fall inside of the circle but not always which is why we need an extra step if the selected point falls outside of the circle try again and again until the point falls inside of the circle this process is an example of rejection sampling where instead of transforming some distribution you reject