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Mathematics 13 Online
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.

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??

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

OpenStudy (anonymous):

Oh, I see. Thanks a lot!

OpenStudy (kc_kennylau):

no problem

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