9th Class Mathematics Circles Question Bank Circles

  • question_answer
    In the given figure, O is the centre of the circle and\[OM\bot PQ.\] If PQ = 6 cm and OM = 4 cm, find the radius of the circle.

    A)  6cm                           

    B)  3cm       

    C)  2 cm              

    D)    5 cm

    Correct Answer: D

    Solution :

    Refer the question figure, \[OM\bot PQ\] \[\Rightarrow \]M is the mid-point of PQ \[MQ=\frac{1}{2}\times 6=3\,cm\] Join OQ, In rt. \[\Delta {\mathrm O}\Mu Q,\]we have \[O{{Q}^{2}}=O{{M}^{2}}+M{{Q}^{2}}={{4}^{2}}+{{3}^{2}}=25\] \[\Rightarrow \]\[OQ=\sqrt{25}=5\,cm\]


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