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9th Class Mathematics Circles Question Bank Circles

  • question_answer
    In given figure, if O is the centre of the circle, then \[x\]\[x=\_\_\_\_.\]

    A) \[{{35}^{o}}\]                        

    B)        \[{{40}^{o}}\]

    C)        \[{{70}^{o}}\]

    D)        \[{{75}^{o}}\]

    Correct Answer: C

    Solution :

    Since angle subtended by an arc at center is double the angle subtended by it on the remaining part of the circle. \[\therefore \]\[\angle AOB=2\angle ACB={{70}^{o}}\] \[\Rightarrow \]\[x={{70}^{o}}\]


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