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

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

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

    B) \[R_{1}^{2}+R_{2}^{2}={{R}^{2}}\]

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

    D) \[R_{1}^{2}+R_{2}^{2}<{{R}^{2}}\]

    Correct Answer: B

    Solution :

    [b] According to the given condition,
    \[\pi {{R}^{2}}=\pi R_{1}^{2}+\pi R_{2}^{2}\,\,\,\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,{{R}^{2}}=R_{1}^{2}+R_{2}^{2}\]


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