# A lovely one

**Geometry**Level 4

Find \( [ a]\)

Clarification -

The image is just shown to understand the given situation , here all the small circles are of same radius and each one touches its adjacent one and the circle in which it is inscribed.

[.] - Greatest integer function

**Note - If you can give a general formula for the radius of the big circle such the there are more than or equal to 3 small circles inscribed in it , you will be appreciated**