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Radius and tangent length given: distance of the point from the centre

The same question, asked 2 times: 18 Sep 2025 S2*, 19 Sep 2025 S1. Every wording below, oldest first.

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  1. Question 1

    18 Sep 2025 S2

    73
    A circle has radius 7 cm. A tangent is drawn from an external point P. If the length of the tangent is 24 cm, what is the distance from P to the center of the circle?

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  2. Question 2

    19 Sep 2025 S1

    73
    The length of each of two tangents drawn from an external point to a circle is 10 cm. What is the approximate distance from the external point to the center of the circle, if the radius is 6 cm?

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