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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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