Contents
convex quadrilateral – Wannan siffa ce ta geometric da aka samu ta hanyar haɗa maki huɗu akan jirgin da bai kamata ya kwanta akan layi ɗaya ba. A wannan yanayin, bangarorin da aka kafa ta wannan hanya bai kamata su shiga tsakani ba.
Tsarin yanki
Tare da diagonals da kusurwar da ke tsakanin su
Yanki (S) na convex quadrilateral yana daidai da daƙiƙa ɗaya (rabin) na samfurin diagonal ɗinsa da kuma gefen kusurwar da ke tsakaninsu.
Ta bangarori hudu (ka'idar Brahmagupta)
Don amfani da dabarar, kuna buƙatar sanin tsawon duk bangarorin adadi. Hakanan ya kamata a iya siffanta da'irar da ke kewayen da'ira.
p – Semi-perimeta, lissafta kamar haka:
Tare da radius na da'irar da aka rubuta da bangarorin
Idan za'a iya rubuta da'irar a cikin madauri huɗu, ana iya ƙididdige yankin ta ta amfani da dabara:
S = p ⋅ r
r shine radius na da'irar.
Misalin matsala
Nemo yanki na convex quadrilateral idan diagonals 5 cm da 9 cm da kwana a tsakanin su ne 30 °.
Yanke shawara:
Muna maye gurbin ƙimar u1bu2b da aka sani a cikin tsarin kuma sami: S u5d 9/30 * 11,25 cm * XNUMX cm * zunubi XNUMX ° uXNUMXd XNUMX cm2.