by unie93 on July 16th, 2007

unie93

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What is the sum of the measures of the angle of a regular octagon?

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  • by iwnit on April 29th, 2010

    iwnit

    1080° (as for any octagon)

    "The sum of the interior angles of a simple n-gon is "(n − 2)π radians" or "(180n − 360)degrees". This is because any simple n-gon can be considered to be made up of (n − 2) triangles, each of which has an angle sum of π radians or 180 degrees. The measure of any interior angle of a convex regular n-gon is "(1 -(2/n))π radians" or "(180 - (360/n)) degrees". "
    Source and further information:
    http://en.wikipedia.org/wiki/Polygon#Angles

    Further information:
    http://en.wikipedia.org/wiki/Octagon

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  • by ChaiCustard on July 16th, 2007

    ChaiCustard

    Hmm, Well each angle is 180-45 = 135. There are 8, so its 8 x 135 = 1080 deg or 18.85 radians

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