In the diagram to the right , the circle...

In the diagram to the right , the circle with center O is inscribed in equilateral triangle BCD. If the radius of the circle is 4, what is the ratio of the perimeter of `triangleBCD` to the area of `triangleBCD` ?

A

`1:2sqrt3`

B

`1:sqrt3`

C

`1:2`

D

`1:4`

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The correct Answer is:

C

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