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Area of a regular polygon of n sides is ...

Area of a regular polygon of n sides is given by A=`n(sqrt(3))/(4)a^(2)sq`. Units . Make 'a' the subject of the formula and find 'a' if the area of a hexagon is `54sqrt(3)` sq. units.

Text Solution

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The correct Answer is:
`a=sqrt(4A)/(nsqrt(3)),`6 units
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Area of a regular polygon of n sides is given by A = n (sqrt3)/(4) a^(2) sq. Units. Make 'a' the subject of the formula and find 'a' if the area of a hexagon is 54sqrt3 sq. units.

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Knowledge Check

  • The area of a regular hexagon of side 2sqrt(3) cm is

    A
    `18sqrt(3)cm^(2)`
    B
    `12sqrt(3)cm^(2)`
    C
    `36sqrt(3)cm^(2)`
    D
    `27sqrt(3)cm^(2)`

  • The area of a regular hexagon of side 2sqrt3 cm is :

    A
    `18 sqrt3 cm^2`
    B
    `12 sqrt3 cm^2`
    C
    `36 sqrt3 cm^2`
    D
    `27 sqrt3 cm^2`

  • The area of a regular hexagon of side 2sqrt(3) cm is :

    A
    `18sqrt(3) cm^(2)`
    B
    `12sqrt(3) cm^(2)`
    C
    `36sqrt(3) cm^(2)`
    D
    `27sqrt(3) cm^(2)`

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    Explore conceptually related problems

    In Fig.3, the area of triangle ABC( in sq.units ) is :

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    If the area of a regular hexagon 96sqrt(3) is square cm, then its perimeter is:

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    A triangle with three equal sides has its area equal to 3sqrt(3) sq cm. Find its perimeter.

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