Multiple Choice Questions on Two small circular parks of diameters 6 m and 8 m are to be replaced by a bigger circular park What ........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

Two small circular parks of diameters 6 m and 8 m are to be replaced by a bigger circular park What ...........

Quantitative Aptitude ( CCS) Mensuration 2D
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    Two small circular parks of diameters 6 m and 8 m are to be replaced by a bigger circular park. What would be the radius of this new park, in meter, if the new park occupies the same space as the two small parks (in meter)?

    1

    Incorrect Answer

    2

    Incorrect Answer

    5

    Correct Answer

    7

    Incorrect Answer
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    Explanation:

    Area of the new circular park = sum of the areas of the 2 smaller parks
    ⇒ π (6/2)2 + π (8/2)2 = π(9+ 16) = 25π 
    ⇒ 25 π = π R2. 
    ∴ R2 = 25 
    ⇒ R = 5 m

    By: MIRZA SADDAM HUSSAIN
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