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Mathematics 6 Online
OpenStudy (beccab003):

degree question? it is possible for the exterior angles of a regular polygon to each measure 8 degrees?

OpenStudy (beccab003):

I don't understand what it means by "exterior angles"

OpenStudy (danjs):

|dw:1421301581650:dw|

OpenStudy (danjs):

i think they can be any number approaching zero as the number of sides approaches infinity

OpenStudy (danjs):

maybe

OpenStudy (danjs):

or 180

OpenStudy (danjs):

each exterior angle on a N sided polygon measures 360/N degrees

OpenStudy (danjs):

they add up to total 360 or 2pi

OpenStudy (beccab003):

okay, 360/8 maybe??

OpenStudy (danjs):

solve 360/N=8

OpenStudy (beccab003):

45-gon

OpenStudy (danjs):

a 45 sided regular polygon will have exterior angles of 8 degrees

OpenStudy (beccab003):

n=45

OpenStudy (beccab003):

is a 45 sides regular polygon possible??

OpenStudy (danjs):

yeah, any number of sides. A circle is the limit of a polygon as the number of sides goes to infinity, i think

OpenStudy (beccab003):

i didnt know that!

OpenStudy (danjs):

Back in the old times, i think before PI and that, they approximated the area of circles using arbitrarily large number sided polygons

OpenStudy (danjs):

as the number of sides grows larger, the area moves closer to the exact value for the area of a circle

OpenStudy (danjs):

although , never reaching it

OpenStudy (beccab003):

huh....that's really cool. I never knew that. I have two more problems with topics that are giving me a harder time. Would you be willing for two more? I can open it in a new thread and then asap close it.

OpenStudy (danjs):

ok, ill try

OpenStudy (beccab003):

thanks

OpenStudy (ajspeller):

Yes |dw:1421302127972:dw|

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