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A circle is inscribed in an equilateral...

A circle is inscribed in an equilateral triangle of side a. Find the area of any square inscribed in this circle.

A

`(1^(2))/(3)`

B

`(a^(2))/(6)`

C

`(3a^(2))/(8)`

D

`(pia^(2))/(12)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • A circle is inscribed in an equilateral triangle of side a. What is the area of any square inscribed in the circle ?

    A
    `(a^(2))/(3)`
    B
    `(a^(2))/(4)`
    C
    `(a^(2))/(6)`
    D
    `(a^(2))/(8)`

  • A circle is cirumscribed in an equilateral triangle of side 'l' . The area of any square inscribed in the circle is :

    A
    `(4)/(3)l^(2)`
    B
    `(2)/(3)l^(2)`
    C
    `(1)/(3)l^(2)`
    D
    `l^(2)`

  • A circle is inscribed in a equilateral triangle of side 24 cm. What is the area ( in cm^(2) ) of a square inscribed in the circle ?

    A
    48
    B
    72
    C
    54
    D
    96
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