Asked by Heather
#19. Given a regular octagon, find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of the polygon.
Answers
Answered by
Reiny
A regular octagon forms 8 congruent isosceles triangles, where the central angles are 360/8° or 45° each.
Your second part cannot be answered since you gave no data.
Let the radius be r and consider one of the triangles..
If the base is 2s, then
s/r = sin 67.5°
s = r sin 67.5°
and 2s = 2r sin 67.5°
So for any given radius, you can find the side, and for any given side, you can find the radius using the above relationship
Your second part cannot be answered since you gave no data.
Let the radius be r and consider one of the triangles..
If the base is 2s, then
s/r = sin 67.5°
s = r sin 67.5°
and 2s = 2r sin 67.5°
So for any given radius, you can find the side, and for any given side, you can find the radius using the above relationship
Answered by
heeyyy!
thx @Reiny
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