SOLUTION: Find the area of the largest circle that can be inscribed in a hexagon of side “h”.
A.2.356 h2
B.2.441 h2
C.3.146 h2
D.1.786 h2
Algebra.Com
Question 1153295: Find the area of the largest circle that can be inscribed in a hexagon of side “h”.
A.2.356 h2
B.2.441 h2
C.3.146 h2
D.1.786 h2
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
From the figure, it is clear that, we can divide the regular hexagon intoidentical equilateral triangles.
We take one triangle, with as the center of the hexagon or circle, & as one side of the hexagon.
Let be mid-point of , would be the perpendicular bisector of , angle °
Then in right angled triangle ,side (in your case is )
So,
Therefore,
Area of circle is:
answer: A.
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