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If the diameter of the circle circumscribing the hexagon is 6 cm, then find the area of the shaded region

If The Diameter Of The Circle Circumscribing The Hexagon Is ...


Options:
A .   632
B .   932
C .   10
D .   4
E .   33128
Answer: Option B
:
B

The answer can be easily obtained usinggraphical division. The hexagon is made of 6 equal triangles, of which we are looking for the area of 2 triangles as shown below 
If The Diameter Of The Circle Circumscribing The Hexagon Is ...
The side of each triangle is 3 cm. Thus the area of 2 such triangles is 2 × 34 × a2 = 932



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