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8th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    A wire bent in the form of a circle of radius 42 cm is cut and again bent in the form of a square. The ratio of the regions enclosed by the circle and the square in the two cases is given by

    A) 11:12                          

    B) 21:33

    C) 22:33                          

    D) 14:11

    Correct Answer: D

    Solution :

    Length of wire \[lbh\] Let x be the side of the square. We have, \[=\sqrt{{{l}^{2}}+{{b}^{2}}+{{h}^{2}}}\] \[=2(lb+bh+hl)sq.\] Area of the circle: Area of the square \[h=2h(l+b)\]\[\text{=Area of base }\!\!\times\!\!\text{ height= }\!\!\pi\!\!\text{ }{{\text{r}}^{\text{2}}}\text{ }\!\!\times\!\!\text{ h= }\!\!\pi\!\!\text{ }{{\text{r}}^{\text{2}}}\text{h}\]


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