10th Class Mathematics Areas Related to Circles Question Bank MCQs - Areas Related to Circles

  • question_answer
        If the sum of the circumferences of two circles with radii \[{{R}_{1}}\]and \[{{R}_{2}}\] is equal to the circumference of a circle of radius R, then:     (NCERT EXEMPLAR)

    A) \[{{R}_{1}}+{{R}_{2}}=R\]

    B) \[{{R}_{1}}+{{R}_{2}}>R\]

    C) \[{{R}_{1}}+{{R}_{2}}<R\]

    D) None of these

    Correct Answer: A

    Solution :

    [a] According to the given condition. 
    \[2\pi R=2\pi {{R}_{1}}+2\pi {{R}_{2}}\Rightarrow \,\,R={{R}_{1}}+{{R}_{2}}\]


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