Finding all the points within a circle in 2D space

Question

I am representing my 2D space (consider a window), where each pixel is shown as a cell in a 2D array. i.e. a 100x100 window is represented by the array of same dimensions.

Answer 1

You can bypass the need for a conditional check:

for(x=center-radius; x<center+radius; x++) {
    yspan = radius*sin(acos((center-x)/radius));
    for(y=center-yspan; y<center+yspan; y++) {
        // (x,y) is inside the circle
    }
}

If needed, you can round(yspan).