Circles in a Triangle 02

Geometry Level 3

In the figure above, three small circles have equal radii of \(r=4\) and one big circle centered \(O \) has radius \(R\). Given an \(\triangle ABC \) is equilateral. If the side of the triangle is \(a\), then find \( \dfrac a{\sqrt3} \).

Rudresh Tomar by Rudresh Tomar
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