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

  • question_answer
    The radii of two concentric circles are \[19\,cm\]and \[16\,cm\]respectively. The area of the ring enclosed by these circles is:

    A) \[\text{32}0\text{ c}{{\text{m}}^{\text{2}}}\]

    B) \[\text{33}0\text{ c}{{\text{m}}^{\text{2}}}\]

    C) \[\text{352 c}{{\text{m}}^{\text{2}}}\]

    D) \[\text{350 c}{{\text{m}}^{\text{2}}}\]

    Correct Answer: B

    Solution :

    [b] Let R and r be the outer and inner radius respectively.  
    Area of the ring
    \[=\pi ({{R}^{2}}-{{r}^{2}})=\pi (R+r)\,(R-r)\]
    \[=\left\{ \frac{22}{7}\times (19+16)\,(19-16) \right\}\]
    \[=\left( \frac{22}{7}\times 35\times 3 \right)=330\,c{{m}^{2}}\]


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