Nā waiwai polygon mau

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.

maʻiʻo

Nā waiwai polygon mau

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:

Nā waiwai polygon mau

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:

Nā waiwai polygon mau

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.

Nā waiwai polygon mau

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:

Nā waiwai polygon mau

Ma waena o ka radii o ka mea i kākau ʻia (r) a wehewehe ʻia (R) nā pōʻai aia kahi hilinaʻi:

Nā waiwai polygon mau

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):

Nā waiwai polygon mau

2. Anapuni (P):

Nā waiwai polygon mau

3. Puka o ka poai puni (R):

Nā waiwai polygon mau

4. Puke o ka pōʻai i kākau ʻia (r):

Nā waiwai polygon mau

Waiwai 6

Area (S) Hiki ke hōʻike ʻia kahi polygon maʻamau ma ke ʻano o ka radius o ka pōʻai i hoʻopaʻa ʻia/inscribed:

Nā waiwai polygon mau

Nā waiwai polygon mau

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