Can someone please help me with this I don't get it :o. Explain how to do it? Thanks.
Find the area of a regular nonagon with a side length of 9 and an apothem of 16.

Question

Can someone please help me with this I don't get it :o. Explain how to do it? Thanks.
Find the area of a regular nonagon with a side length of 9 and an apothem of 16.

jim_thompson5910 · Answer

Any nonagon has 9 sides

You can break up the nonagon into 9 congruent triangles that all look like this

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jim_thompson5910 · Answer

Find the area of that triangle and multiply by 9 to get the total area of the nonagon

anonymous · Answer

A regular nonagon has an area of about 6.18182 times the length of a side squared, so you don't really need the apothem at all, since we are told that it is a regular nonagon

anonymous · Answer

however @jim_thompson5910 's way is pretty cool too. I don't know if it yields the same answer though

jim_thompson5910 · Answer

It should assuming Khushal_Shah's method is correct

Basically the circumradius forms the legs of the isosceles triangle

This means that the apothem is the height of each isosceles triangle

anonymous · Answer

Nvm I got it thanks!