The radii of two concentric circles are 13 and 8.A chord of the outer circle touches the inner circle. Find the length of that cho

The radii of two concentric circles are 13 and 8.A chord of the outer circle touches the inner circle. Find the length of that chord​

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2 thoughts on “The radii of two concentric circles are 13 and 8.A chord of the outer circle touches the inner circle. Find the length of that cho”

  1. Step-by-step explanation:

    Fromthefigure

    ODistheradiusofsamllercircle

    andBDisthetangenttothesmallercircle

    so,OD⊥BD

    ∴∠ODB=90

    and,

    InthebiggercirclePisapointinthesemi−circleofthebiggercircle

    ∴∠APB=90

    InΔABPandΔOBD

    ∠APB=∠ODB=90

    ∠ABP=∠ODB(common)

    ΔABP∼ΔOBD(AAsimilarity)

    Now,

    OD

    AP

    =

    OB

    AB

    8

    AP

    =

    13

    26

    AP=2×8

    =16 cm

    Reply

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