SOLUTION: A regular hexagon is inscribed in a circle which is inscribed in a square of side 12cm. How long is each side of the hexagon?

Question 1012990: A regular hexagon is inscribed in a circle which is inscribed in a square of side 12cm. How long is each side of the hexagon?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
The diameter of the circle is equal to the side of the square.
So diameter of circle=12cm, radius=6cm.
.
A regular hexagon is composed of 6 equilateral triangles.
The inscribed hexagon is composed of triangles with sides
equal to the radius of the circle, and since each side of
the hexagon is one side of an equilateral triangle, the sides
of the hexagon are equal to the radius of the circle. Sorry I
don't have a picture.
.
ANSWER: The sides of the hexagon are 6 cm.
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