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OpenStudy (anonymous):
A regular hexagon is inscribed in a circle with a radius of 18 inches. Find the length of each side of the hexagon.
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OpenStudy (campbell_st):
well you know the radius is 9 inches... and the angle at the centre of the hexagon will be 60 degrees... this should help |dw:1396850660624:dw|
OpenStudy (kc_kennylau):
The radius is 18 inches*
OpenStudy (campbell_st):
that is provided its a regular hexagon
OpenStudy (campbell_st):
|dw:1396850747843:dw| oops
OpenStudy (anonymous):
What formula do I use to find the other side??
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OpenStudy (kc_kennylau):
Well it's an equilateral triangle
OpenStudy (campbell_st):
you don't tell me about the base angles of triangle OAB|dw:1396850982075:dw|
OpenStudy (kc_kennylau):
With equi- meaning "equal" and lateral meaning "side".
OpenStudy (anonymous):
so does that mean AB also equals 18?
OpenStudy (kc_kennylau):
Yes
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OpenStudy (anonymous):
Oh, I see. Thanks a lot!
OpenStudy (kc_kennylau):
no problem
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