Ononot — In a circle with center O, a chord AB has length 16. A point

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Euclidean 2Dhard

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In a circle with center $O$ , a chord $AB$ has length $16$ . A point $M$ is the midpoint of $AB$ , and $OM$ is the distance from the center to the chord. Given that the radius of the circle is $r = 10$ , what is the distance $OM$ ?