AMC / AIME · Power of a Point · Medium

Power of a Point: Radius math, chord length math. Distance from center to chord?

Chord and tangent-secant.

Try the problem

Radius 1010, chord length 1212. Distance from center to chord?

Hint and answer

Concept to use

Tangent-secant.

Hint

Half chord 66, then Pythagorean.

Answer

8

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