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Geometry

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a belt is wrapped tightly around circle O and forms a right angle at P, outside the circle. find the length of the belt if circle O has a radius of 8.

  • Geometry -

    If the belt is tangent to the circle at Q, PQ = 8 and the angle QOP = π/4

    So, the belt's length is

    3π/2 * 8 + 2*8 = 12π+16

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