‘The lengths of two parallel chords of a circle are 6 cm and 8 cm. If the smaller
chord is at a distance of 4 cm from the ce

‘The lengths of two parallel chords of a circle are 6 cm and 8 cm. If the smaller
chord is at a distance of 4 cm from the centre, find the distance of the other chord from
the centre
LAB 6 cm CD
8 cm and
and cm be its​

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2 thoughts on “‘The lengths of two parallel chords of a circle are 6 cm and 8 cm. If the smaller<br />chord is at a distance of 4 cm from the ce”

  1. Step-by-step explanation:

    From the figure shown,

    Radius=OA=10cm.

    AB is the chord drawn with the length=16 cm.

    We know,

    perpendicular drawn from the centre of the circle to the chord ,bisects the chord

    hence, C is the midpoint of AB.

    Therefore,

    AC=

    2

    AB

    =

    2

    16

    =8

    So using Pythagorean Theorem:

    OA

    2

    =OC

    2

    +AC

    2

    10

    2

    =OC

    2

    +8

    2

    100=OC

    2

    +64

    OC

    2

    =36

    OC=6cm

    Reply

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