Level
1

In the diagram, point \(Y\) is on the circle and point \(P\) lies outside the circle such that \(PY\) is tangent to the circle. \(A\) is a point on the circle such that segment \(PA\) meets the circle again at point \(B.\)

If \(PA = 22\) and \(PY = 10,\) then what is \(AB?\)

Express your answer as a decimal rounded to the nearest hundredth.

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