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An equilateral triangle circumscribes al...

An equilateral triangle circumscribes all the three circles each of radius 1 cm . What is the perimeter of the equilateral triangle ?

A

`6 ( sqrt(3) + 1) cm `

B

`sqrt(3)(8 + sqrt(2)) cm `

C

`15 ( sqrt(3) -1) cm `

D

none of the above

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The correct Answer is:
A
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Knowledge Check

  • An equilateral triangle circumscribes all the six circles , each with radius 1 cm . What is the perimeter of the equilateral triangle ?

    A
    `6( 2+ sqrt(3))`cm
    B
    `3( sqrt(3) + 2) cm `
    C
    `12( sqrt(3) + 4) cm `
    D
    none of the above

  • The circumference of a circle is equal to the perimeter of an equilateral triangle. If the radius of the circle is 7 cm what is the length of the equilateral triangle ?

    A
    `(22)/(3)cm`
    B
    `(44)/(3)cm`
    C
    44 cm
    D
    22 cm

  • An equilateral triangle is inscribed in a circle of radius 6cm. Find its side.

    A
    `6sqrt3`
    B
    `6/sqrt3`
    C
    `8sqrt3`
    D
    `2sqrt3`

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