# Give it a successful try

Geometry Level 5

A circle is inscribed in a rhombus $$\text{ABCD}$$ with one angle $$\text{60°}$$. The distance from the center of the circle to the nearest vertex is equal to $$1$$. If $$\text{P}$$ is any point of the circle, then $\text{|PA|² + |PB|² + |PC|² + |PD|²}$ equals

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