# Generating a random point within a circle (uniformly)

For a circle of radius `R`

you do:

```
double a = rand() * 2 * PI
double r = R * sqrt(rand())
double x = r * cos(a)
double y = r * sin(a)
```

where `rand()`

gives a uniformly random number between 0 and 1.

## Example output

Here are 4000 points within a radius of 100 pixels generated with the above method.

## Comments