I was looking through the internet for answers and I couldn’t find any.
I think this might have been straight forward for most but I was confused.
I hope that this helps others out there.
When we have the coordinate (x,y) why does the following work ?
x*x + y*y <= 1
The following expression is true when a point is inside of a quarter circle.
But why does this work ?
It works because the distance from the origin of a circle to the edge of a circle is always the radius. In our case it’s 1. This is demonstrated below in image two.
Therefore when we plot a point outside of the quarter circle it’s going to be greater than 1.
The following images should help to illustrate this point.
Note: The quarter circle is the top right portion of the circle that is highlighted. c and b can be substituted for x and y. c is the distance from the origin of the circle to a plotted point.
