# Tangentia Dance

Geometry Level 4

In a 2D world, the circles are organizing a 'Circle Party', where they sing and perform their traditional 'Tagentia Dance'.

In the 'Tangentia Dance' , all the Circles arrange themselves in a circle and hold the largest possible number of different ribbons such that the ribbons are tangents to both of the Circles holding them.

If $$20$$ Circles are performing this year, how many ribbons are required for the 'Tangentia Dance' ?

Details and assumptions :

1. The question talks about the maximum number of tangents possible between all the circles.
2. Every ribbon is connecting only $$2$$ Circles.
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