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Three circles each of radius 7cm are dra...

Three circles each of radius 7cm are drawn in such a way that each of them touches the other two. Find the area enclosed between the circles.

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Three circles each of radius 3.5cm are drawn in such a way that each of them touches the other two.Find the area enclosed between these three circles (shaded region).

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Knowledge Check

  • Three circles of radius 3.5 cm each are placed in such a way that each touches the other two. The area of the portion enclosed by the circles is

    A
    `1.975 cm^(2)`
    B
    `1.967 cm^(2)`
    C
    `19.67 cm^(2)`
    D
    `21.21 cm^(2)`
  • Three circles of radius 63 cm are placed in such a way that each circle touches the other two. What is the area of the portion enclosed by the three circles?

    A
    `7938sqrt()3 - 4158`
    B
    `3969 sqrt()3 - 4158`
    C
    `7938sqrt()3 - 6237`
    D
    `3669sqrt()3 - 6237`
  • Three circles of raidus 21 cm are placed in such a way that each circle touches the other two. What is the area of the portion enclosed by the three circles ? (In sq. cm)

    A
    `441sqrt(3) - 693`
    B
    `882sqrt(3) - 693`
    C
    `882sqrt(3) - 462`
    D
    `441sqrt(3) - 462`
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    If three circles of radius a each are drawn such that each touches the other two, prove that the area included between them is equal to 4/25a^(2) . [Take sqrt(3)=1.73 and pi=3.14 ]

    Three coins of the same size (radius 1 cm) are placed on a table such that each of them touches the other two. The area enclosed by the coins is

    Three coins of the same size (radius 1 cm) are placed on a table such that each of them touches the other two. The area enclosed by the coins is

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