SOLUTION: Can someone please help me out on this? A regular hexagon is inscribed in a circle with a radius of 12 centimeters. Find the measure of each side of the hexagon. Thanks a lo

Algebra ->  Circles -> SOLUTION: Can someone please help me out on this? A regular hexagon is inscribed in a circle with a radius of 12 centimeters. Find the measure of each side of the hexagon. Thanks a lo      Log On


   

Question 871348: Can someone please help me out on this?
A regular hexagon is inscribed in a circle with a radius of 12 centimeters. Find the measure of each side of the hexagon.
Thanks a lot!!
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!



There are 6 central angles and they are all equal in measure,
So each central angle is %22360%B0%22%2F6 or 60°.  So all 6
triangles in the figure are equilateral.  So their sides
are all equal, and since the radius is 12 cm, all the sides
of all 6 triangles are 12 cm each.

Answer 12 cm.

Edwin