#1
Hey guys, i was wondering if anyone knows the area formula for an octagon, nonagon, decagon etc. I can't seem to find any on google?
#2
i've never heard of any formulae for these shapes,
try breaking them up into groups of smaller shapes you do have the formulae for

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#3
Im not sure how it is supposed to be done, but I would take an octagon for example, and break it up into 8 triangles, find the area of 1 and multiply times 8.
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#4
you could use the formula area = 1/2 apothem x perimeter

apothem = distance from the side of the shape to the middle, its like the radius of a circle but in this case you do it with one side of the polygon to the centre


edit: oh yeah theres also this formula

Area of a regular polygon = (1/2) N x sin(360°/N) x S²

where n = no of sides and s = length from centre to corner of the shape
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Last edited by nikhil101 at Jul 26, 2008,
#5
Yeah, its already been said. For regular polygons, you can brake them up into equal triangles and then find the area. For irregular polygons, you might need some funky tringles.
#7
Quote by nikhil101
you could use the formula area = 1/2 apothem x perimeter

apothem = distance from the side of the shape to the middle, its like the radius of a circle but in this case you do it with one side of the polygon to the centre


edit: oh yeah theres also this formula

Area of a regular polygon = (1/2) N x sin(360°/N) x S²

where n = no of sides and s = length from centre to corner of the shape


This.
#9
you have to decompose the shape in order to get to familiar shapes