Question

I am trying to detect the collision from two objects. This collision
has more than one option so I would like to know if there is any way
to declare a radius CGPoint or something similar.

Answer 1

This is a simple way to test if a point is in a circle:

-(bool)pointInCircle_circleCenter:(CGPoint)circleCenter circleRadius:(float)radius testPoint:(CGPoint)point{
    float distance = (circleCenter.x-point.x) * 2 + (circleCenter.y-point.y) * 2;
    return distance <= radius * 2;
}