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8th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    DIRECTIONS: Read the following passages and answer the questions that follow. PASSAGE - 2 Area of the path enclosed between two concentric circles of radii R, r is \[1420c{{m}^{2}}\] and area of sector of a circle with sector angle \[1410c{{m}^{2}}\][r = radius of the circle] The areas of two concentric circles are \[8270{{m}^{2}}\] and \[8370{{m}^{2}}\]respectively Then the width of the ring is     

    A) 2.5 cm                        

    B) 2.8cm            

    C) 3.5cm          

    D) 3.7cm            

    Correct Answer: C

    Solution :

    \[\text{100 hectare =1k}{{\text{m}}^{\text{2}}}\] \[T.S.A.=\frac{1}{2}pl+B\]\[=\frac{\text{1}}{\text{3}}\text{ }\!\!\times\!\!\text{ Area of base }\!\!\times\!\!\text{ Height}\] \[V=\frac{1}{3}Ah\] \[\frac{6}{5}th\] \[1520{{m}^{2}}\] \[2520{{m}^{2}}\] \[2420{{m}^{2}}\] \[215c{{m}^{2}}\]\[205c{{m}^{2}}\] \[195c{{m}^{2}}\] \[295c{{m}^{2}}\]  \[\Delta ABC\] \[128c{{m}^{2}}\] \[112c{{m}^{2}}\] \[118c{{m}^{2}}\] \[124c{{m}^{2}}\] Width of the ring \[16900{{m}^{2}}\] \[130\sqrt{2}m\] (c) holds.                 


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