1) Radius of a circle is 5cm.The length of a chord of the circle is 8cm.Find the distance of the chord from the circle.​

1) Radius of a circle is 5cm.The length of a chord of the circle is 8cm.Find the distance of the chord from the circle.​

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2 thoughts on “1) Radius of a circle is 5cm.The length of a chord of the circle is 8cm.Find the distance of the chord from the circle.​”

  1. Answer:

    Let AB =8 cm. be the chord of the circle with radius AO=5 cm.

    Draw OP⊥AB.join OA

    according to the theorem

    AP=

    2

    1

    AB=

    2

    1

    ×8=4cm.

    In △APO,∠A=90

    ∴(AO)

    2

    =(AP)

    2

    +(OP)

    2

    OP=

    (AO)

    2

    −(AP)

    2

    5

    2

    −4

    2

    9

    ⇒OP=3cm

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