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Two intersecting circles: common chord and distance between centres

This type of question, asked 4 times: 19 Jul 2023 S1, 24 Jul 2023 S2, 24 Jul 2023 S4, 18 Sep 2024 S3. All 4 questions below, oldest first.

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  1. Question 1

    19 Jul 2023 S1

    64
    Two circles of same radius 6 cm, intersect each other at P and Q. If PQ = 10cm, then what is the distance between the centres of the two circles?

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  2. Question 2

    24 Jul 2023 S2

    54
    The length of the common chord of two circles of radii 15 cm and 13 cm, whose centres are 14 cm apart, is:

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  3. Question 3

    24 Jul 2023 S4

    70
    Two equal circles of radius 18 cm intersect each other, such that each passes through the centre of the other. The length of the common chord is _________.

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  4. Question 4

    18 Sep 2024 S3

    63
    Two equal circles pass through each other's centre. If the radius of each of the circle is 13 cm, then what is the length of the common chord?

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