Kutsvaga nzvimbo ye convex quadrilateral: fomula uye muenzaniso

convex quadrilateral - Ichi chimiro chejometri chinowanikwa nekubatanidza mapoinzi mana mundege isingafanirwe kurara pamutsetse mumwe wakatwasuka. Muchiitiko ichi, mativi akaumbwa nenzira iyi haafaniri kupindirana.

gutsikana

Area formula

Pamwe diagonals uye kona pakati pavo

Nzvimbo (S) yeconvex quadrilateral yakaenzana nesekondi imwe (hafu) yechigadzirwa chemadiagonals ayo uye sine yekona pakati pawo.

Kutsvaga nzvimbo ye convex quadrilateral: fomula uye muenzaniso

Kutsvaga nzvimbo ye convex quadrilateral: fomula uye muenzaniso

Pamativi mana (formula yaBrahmagupta)

Kuti ushandise chimiro, unoda kuziva urefu hwemativi ose emufananidzo. Zvinofanirawo kukwanisa kutsanangura denderedzwa rakatenderedza quadrilateral.

Kutsvaga nzvimbo ye convex quadrilateral: fomula uye muenzaniso

Kutsvaga nzvimbo ye convex quadrilateral: fomula uye muenzaniso

p - semi-perimeter, yakaverengerwa sezvinotevera:

Kutsvaga nzvimbo ye convex quadrilateral: fomula uye muenzaniso

Pamwe neradius yedenderedzwa rakanyorwa uye mativi

Kana denderedzwa rinogona kunyorwa mu quadrilateral, nzvimbo yaro inogona kuverengerwa uchishandisa formula:

S = p ⋅ r

Kutsvaga nzvimbo ye convex quadrilateral: fomula uye muenzaniso

r ndiyo radius yedenderedzwa.

Muenzaniso wedambudziko

Tsvaga nzvimbo ye convex quadrilateral kana diagonals iri 5 cm uye 9 cm uye kona iri pakati payo i30 °.

Sarudzo:

Isu tinotsiva kukosha u1bu2bunozivikanwa kwatiri mufomula uye tinotora: S u5d 9/30 * 11,25 cm * XNUMX cm * chivi XNUMX ° uXNUMXd XNUMX cm2.

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