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      Question

      From an external point P, two tangents PR and PS are

      drawn to a circle with a radius of 10 cm. If the length of each tangent is 14 cm, determine the perimeter of quadrilateral ORPS, where O is the center of the circle.
      A 36 cm Correct Answer Incorrect Answer
      B 48 cm Correct Answer Incorrect Answer
      C 24 cm Correct Answer Incorrect Answer
      D 60 cm Correct Answer Incorrect Answer

      Solution

      Image

      We know that the length of tangents drawn from an external point to the circle is equal. i.e. RP = PS = 14 cm

      Required perimeter = OR + RP + PS + OS = 10 + 14 + 14 + 10 = 48 cm

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