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What is the sum of the degree measures of the interior angles of a regular octagon?
3 Answers
- Anonymous5 years ago
What is the sum of the degree measures of the interior angles of a regular octagon?
Apply this formula for sum of degree measures of interior angles of a polygon: S = 180° (n - 2)...where 'n' is the number of sides...an octagon has 8 sides so we substitute 8 for n and evaluate..
S = 180° (8 - 2)
S = 180° (6)
S = 1080° <--- answer...
- ?Lv 65 years ago
One side of a regular n-gon subtends angle 2pi/n at the circle center upon
which it may be superimposed. The the angle between adjoining sides of a
regular n-gon is pi -2pi/n = (n-2)(pi/n). There are n such adjoining angles in
the n-gon totaling (n-2)pi radians. For an octagon n = 8 and the sum of the
interior angles is 6pi rad. or 1080 degrees.
