# A geometry problem by Hahn Lheem

Geometry Level 3

Two points are picked at random on the circumference of a circle with equation $$x^2+y^2=1$$. The probability that the length of the chord connecting these two points is greater than $$\sqrt{2-\sqrt{2}}$$ can be expressed as $$\dfrac{m}{n}$$, where $$m$$ and $$n$$ are positive, coprime integers. Find $$m^3+n^3$$.

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