[Math] Find the radius of a circle touching two arcs within a square

circlesgeometrytangent line

$ABCD$ is a square having each side = $6$ cm. Two arcs are drawn within the square as shown in the figure. Find the radius of the circle (centre $P$ in the figure) which touches both the arcs and the side of the square.
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Best Answer

It is only a matter of pythagorean theorem: enter image description here

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