As usual I'm working on a program and I'm having trouble with math/efficiency. 1. The problem statement, all variables and given/known data I need a way to find out if a circle given as a point and a radius C(x,y,r) fully encloses a rectangle given by the top left corner and the width and height R(x,y,w,h) I only need to know IF it fully covers the rectangle and not any of the areas. 2. The attempt at a solution The only solution I can think of is simple but not fast: 1) get all points of the rectangle (xi,yi) i from 1-4 2) for every i check if (cx-xi)2+(cy-xi)2 <= cr2 3) if any of the checks in 2 are false it is not covered by the circle otherwise it does I am sure that this solution will work, but I'm hoping there may be a faster way to do it. Is this the best (most efficient) solution or is there a better one?