# Semi-circle

Geometry Level 3

In a right triangle, a semi-circle is inscribed so that its diameter lies on the hypotenuse and its center divides the hypotenuse in two segments of lengths 15 and 20.the length of the arc of the semicircle between the points at which the legs touch the semicircle is $$K \pi$$. Then find the numerical value of $$K$$.

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