Ma kēia paʻi ʻana, e noʻonoʻo mākou i nā waiwai nui o kahi polygon maʻamau e pili ana i kona mau kihi i loko (me kā lākou huina), ka helu o nā diagonal, ke kikowaena o nā pōʻai i hoʻopaʻa ʻia a kākau ʻia. Noʻonoʻo pū ʻia nā ʻōkuhi no ka loaʻa ʻana o ka nui kumu (ka ʻāpana a me ke anapuni o kahi kiʻi, radii o nā pōʻai).
'Ōlelo Aʻo: ua nānā mākou i ka wehewehe ʻana o kahi polygon maʻamau, kona mau hiʻohiʻona, nā mea nui a me nā ʻano i loko.
Nā waiwai polygon mau
Waiwai 1
Nā kihi o loko i kahi polygon maʻamau (α) ua like kekahi i kekahi a hiki ke helu ʻia ma ke ʻano:
kahi n ʻo ia ka helu o nā ʻaoʻao o ke kiʻi.
Waiwai 2
ʻO ka huina o nā kihi a pau o ka n-gon maʻamau: 180° · (n-2).
Waiwai 3
helu o na diagonal (Dn) pili ka n-gon mau i ka heluna o kona mau aoao (n) a ua hoakakaia penei:
Waiwai 4
I loko o kekahi polygon maʻamau, hiki iā ʻoe ke kākau i kahi pōʻai a wehewehe i kahi pōʻai a puni ia, a e hui like ko lākou mau kikowaena, me ke kikowaena o ka polygon ponoʻī.
E like me ka laʻana, hōʻike ka kiʻi ma lalo nei i kahi hexagon maʻamau (hexagon) i waenakonu ma kahi kiko O.
Area (S) hana ʻia e nā pōʻai o ke apo i helu ʻia ma ka lōʻihi o ka ʻaoʻao (a) nā huahelu e like me ke ʻano:
Ma waena o ka radii o ka mea i kākau ʻia (r) a wehewehe ʻia (R) nā pōʻai aia kahi hilinaʻi:
Waiwai 5
ʻIke i ka lōʻihi o ka ʻaoʻao (a) polygon maʻamau, hiki iā ʻoe ke helu i nā nui e pili ana iā ia:
1. Area (S):
2. Anapuni (P):
3. Puka o ka poai puni (R):
4. Puke o ka pōʻai i kākau ʻia (r):
Waiwai 6
Area (S) Hiki ke hōʻike ʻia kahi polygon maʻamau ma ke ʻano o ka radius o ka pōʻai i hoʻopaʻa ʻia/inscribed: