Filling radius

Imagine you have a big box filled with different shapes like circles and squares. Now, you want to fit as many circles as possible inside the box without overlapping each other. The distance from the center of the circle to its boundary is called the radius.

Filling radius is the maximum radius of a circle that can fit inside a given shape without overlapping or going outside the shape. It helps us understand how much space we have to fill the shape with non-overlapping circles.

For example, if you have a square with a filling radius of 3cm, you can fit the biggest circle possible with a radius of 3cm inside that square with no overlap or going outside the square.

Filling radius is useful in many fields such as engineering, architecture, and mathematics to determine the maximum capacity of a given space or shape.