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

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

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

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

    D) Nothing definite can be said about the relation among \[{{R}_{1}},\,{{R}_{2}}\]and R.

    Correct Answer: A

    Solution :

    According to the given condition,
    Circumference of circle
    = Circumference of first circle
    + Circumference of second circle
    \[\therefore \,\,\,\,2\pi R=2\pi {{R}_{1}}+2\pi {{R}_{2}}\]
    \[\Rightarrow \,\,\,\,R={{R}_{1}}+{{R}_{2}}\]


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