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The diameter of a semicircle and the bas...

The diameter of a semicircle and the base of an equilateral `/_\ABC` coincide in such a way that the other two sides of the triangle intersect the circumference of the semicircle at the points D and E, as shown in the diagram. If the perimeter of the triangle ABC is 6 cm, find the area of the shaded region.

A

`((2pi)/3-sqrt3/2)cm^2`

B

`(pi/3-sqrt3/2)cm^2`

C

`pi((2-sqrt3)/3)`

D

none of these

Text Solution

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The correct Answer is:
B
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