Lintho tse tloaelehileng tsa polygon

Khatisong ena, re tla nahana ka matlotlo a ka sehloohong a polygon e tloaelehileng mabapi le li-angles tsa eona tse ka hare (ho kenyeletsoa kakaretso ea tsona), palo ea li-diagonal, bohareng ba li-circles le li-circles tse ngotsoeng. Liforomo tsa ho fumana lipalo tsa mantlha (sebaka le perimeter ea setšoantšo, radii ea li-circles) le tsona li nkuoa.

Hlokomela: re hlahlobile tlhaloso ea polygon e tloaelehileng, likarolo tsa eona, lintlha tsa sehlooho le mefuta ho.

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Lintho tse tloaelehileng tsa polygon

Lintho tse tloaelehileng tsa polygon

Thepa 1

Li-angles tse ka hare ho polygon e tloaelehileng (α) li lekana 'me li ka baloa ka foromo:

Lintho tse tloaelehileng tsa polygon

moo n ke palo ea mahlakore a setšoantšo.

Thepa 2

Kakaretso ea li-angles tsohle tsa n-gon e tloaelehileng ke: 180° · (n-2).

Thepa 3

palo ea diagonals (Dn) n-gon e tloaelehileng e itšetlehile ka palo ea mahlakore a eona (n) mme e hlalosoa ka tsela e latelang:

Lintho tse tloaelehileng tsa polygon

Thepa 4

Ho polygon leha e le efe e tloaelehileng, u ka ngola selikalikoe 'me u hlalose selikalikoe se pota-potileng,' me litsi tsa bona li tla lumellana, ho kenyeletsa le bohareng ba polygon ka boeona.

E le mohlala, setšoantšo se ka tlase se bontša hexagon e tloaelehileng (hexagon) e bohareng ba ntlha O.

Lintho tse tloaelehileng tsa polygon

Area (S) e entsoeng ka li-circles tsa lesale e baloa ka bolelele ba lehlakore (a) lipalo ho ea ka foromo:

Lintho tse tloaelehileng tsa polygon

Pakeng tsa radii tsa tse ngotsweng (r) le ho hlalosoa (R) selikalikoe ho na le ho itšetleha:

Lintho tse tloaelehileng tsa polygon

Thepa 5

Ho tseba bolelele ba lehlakore (a) polygon e tloaelehileng, o ka bala lipalo tse latelang tse amanang le eona:

1. Sebaka (S):

Lintho tse tloaelehileng tsa polygon

2. Pherimitha (P):

Lintho tse tloaelehileng tsa polygon

3. Radius ea selikalikoe se potolohileng (R):

Lintho tse tloaelehileng tsa polygon

4. Radius ea selikalikoe se ngotsoeng (r):

Lintho tse tloaelehileng tsa polygon

Thepa 6

Area (S) polygon e tloaelehileng e ka hlahisoa ho latela radius ea selikalikoe se pota-potiloeng / se ngotsoeng:

Lintho tse tloaelehileng tsa polygon

Lintho tse tloaelehileng tsa polygon

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