SOLUTION: a regular hexagon with sides of 3"is inscribed in a circle find the segment formed by a side of the hexagon and the circle

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Question 254903: a regular hexagon with sides of 3"is inscribed in a circle find the segment formed by a side of the hexagon and the circle
Found 3 solutions by Alan3354, Greenfinch, richwmiller:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website!
I found them. There are 6 of them.

Answer by Greenfinch(383)   (Show Source):
You can put this solution on YOUR website!
The angle subtended by one segment is 360/6 = 60 degrees. The area of the triangle is 1/2 * 3 * 3 + sin 60 = 9/4 * sqrt 3 . The area of the sector of the circle is 1/6 (pi * 3^2) = 9/6 * pi
So area of segment is sector minus triangle
9(pi/6 - (sqrt 3)/4)= 9((3.14/6) - (1.732/4))

Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website!
Alan ,
I love your answer. You did just like the instructions said to do.
If they want more they should say so!