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The copper wire, when bent in the form o...

The copper wire, when bent in the form of a square, encloses an area of 484 `c m^2` . If the same wire is bent in the form of a circle, find the area enclosed by it.

Text Solution

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Side of the square `=sqrt(484)m=22m`
Circumference of the circle `=` perimeter of square `=(22xx4)m=88m`
`implies2xx22/7xxR=88impliesR=(88xx7/44)=14m`
Area of the circle `=piR^(2)=(22/7xx14xx14)m^(2)=616m^(2)`.
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Knowledge Check

  • A copper wire when bent in the form of a square encloses an area of 121 cm^(2) . Y the same wire is bent in the form of a circle, find the area enclosed by it.

    A
    `184cm^(2)`
    B
    `164cm^(2)`
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    D
    `174cm^(2)`

  • A copper wire when bent in the form of a square, encloses an area of 121 m^2 . If the same wire is bent to form a circle, the area enclosed by it would be :

    A
    `122 m^2`
    B
    `112 m^2`
    C
    `154 m^2`
    D
    `308 m^2`

  • A wire, bent in the form of a square, encloses an area of 121 cm^2 . If the same wire is bent in the form of a circle, then the circumference of the circle is:

    A
    11 cm
    B
    22 cm
    C
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    D
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