Question

Given a circle with center O and a point P external to the circle. If through this point P we draw two straight segments. The first one goes from P to T, where T is the point of tangency of this straight line segment with the circle. The second straight segment has a length equal to 10 and leaves P and ends at point O, crossing the circle at point A. Knowing that the power of P in relation to the circle is 75, how much, in degrees, does the smallest arc formed betweenA and T?

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Answer to a math question Given a circle with center O and a point P external to the circle. If through this point P we draw two straight segments. The first one goes from P to T, where T is the point of tangency of this straight line segment with the circle. The second straight segment has a length equal to 10 and leaves P and ends at point O, crossing the circle at point A. Knowing that the power of P in relation to the circle is 75, how much, in degrees, does the smallest arc formed betweenA and T?

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