Page 68 - Demo

62K%u00ebndet dhe shum%u00ebk%u00ebnd%u00ebshatAFT%u00cbSI3.5K%u00ebndet e shum%u00ebk%u00ebnd%u00ebshaveShum%u00ebk%u00ebnd%u00ebshi %u00ebsht%u00eb nj%u00eb figur%u00eb dyp%u00ebrmasore me brinj%u00eb segmente drejtvizore.Nj%u00eb shum%u00ebk%u00ebnd%u00ebsh i rregullt i ka t%u00eb gjitha brinj%u00ebt dhe t%u00eb gjitha k%u00ebndet e barabarta.Nj%u00eb pes%u00ebk%u00ebnd%u00ebsh ka 5 brinj%u00eb, nj%u00eb gjasht%u00ebk%u00ebnd%u00ebsh ka 6 brinj%u00eb, nj%u00eb tet%u00ebk%u00ebnd%u00ebsh ka 8 brinj%u00eb dhe nj%u00eb dhjet%u00ebk%u00ebnd%u00ebsh ka 10 brinj%u00eb. Shuma e k%u00ebndeve t%u00eb brendshme t%u00eb nj%u00eb shum%u00ebk%u00ebnd%u00ebshi jepet me formul%u00ebn: S = (n - 2) %u00d7 180o, ku n %u00ebsht%u00eb numri i brinj%u00ebve. Shuma e k%u00ebndeve t%u00eb jashtme t%u00eb nj%u00eb shum%u00ebk%u00ebnd%u00ebshi %u00ebsht%u00eb 360o.Masa e nj%u00eb k%u00ebndi t%u00eb jasht%u00ebm t%u00eb nj%u00eb shum%u00ebk%u00ebnd%u00ebshi t%u00eb rregullt %u00ebsht%u00eb: 360on,ku n %u00ebsht%u00eb numri i brinj%u00ebve. N%u00eb secilin kulm t%u00eb shum%u00ebk%u00ebnd%u00ebshit: k%u00ebndi i jasht%u00ebm + k%u00ebndi i brendsh%u00ebm =180o. SHEMBULLGjeni k%u00ebndin m%u00eb t%u00eb madh n%u00eb shtat%u00ebk%u00ebnd%u00ebshin e paraqitur n%u00eb figur%u00eb.Shtat%u00ebk%u00ebnd%u00ebshi ka 7 brinj%u00eb. Ai mund t%u00eb ndahet n%u00eb 5 trek%u00ebnd%u00ebsha. Shuma e k%u00ebndeve t%u00eb shtat%u00ebk%u00ebnd%u00ebshit %u00ebsht%u00eb: 5 %u00d7 180%u00b0 = 900%u00b07x + 60%u00b0 = 900%u00b0 7x = 900%u00b0 %u2013 60%u00b0 = 840%u00b0x = 840%u00b0 : 7 = 120%u00b0K%u00ebndi m%u00eb i madh %u00ebsht%u00eb: x + 30%u00b0 = 150%u00b0SHEMBULLa Gjeni mas%u00ebn e k%u00ebndeve t%u00eb brendshme t%u00eb nj%u00eb gjasht%u00ebk%u00ebnd%u00ebshi t%u00eb rregullt.b P%u00ebrshkruani simetrin%u00eb e gjasht%u00ebk%u00ebnd%u00ebshit t%u00eb rregullt.a Shuma e 6 k%u00ebndeve t%u00eb jashtme %u00ebsht%u00eb 360o. %u00c7do k%u00ebnd i jasht%u00ebm %u00ebsht%u00eb: 360%u00b0 : 6 = 60%u00b0 %u00c7do k%u00ebnd i brendsh%u00ebm %u00ebsht%u00eb: 180%u00b0 %u2013 60%u00b0 = 120%u00b0Ose Shuma e k%u00ebndeve t%u00eb brendshme: (6 %u2013 2) %u00d7 180%u00b0 = 720%u00b0 %u00c7do k%u00ebnd i brendsh%u00ebm: 720%u00b0 : 6 = 120%u00b0b Gjasht%u00ebk%u00ebnd%u00ebshi i rregullt ka 6 boshte simetrie. 123456Duke p%u00ebrshkuar brinj%u00ebt e nj%u00eb shum%u00ebk%u00ebnd%u00ebshi, shuma e k%u00ebndeve t%u00eb kthesave (t%u00eb jashtme) %u00ebsht%u00eb 360o.Mund t%u00eb p%u00ebrdorni let%u00ebr kalk p%u00ebr t%u00eb p%u00ebrcaktuar boshtet e simetris%u00eb.xxxxxooooooxk%u00ebnd i brendsh%u00ebmk%u00ebnd i jasht%u00ebmPes%u00ebk%u00ebnd%u00ebsh (5 brinj%u00eb)Shuma e k%u00ebndeve = 3 %u00d7 180%u00b0= 540%u00b0x+ 30%u00b0x+ 10%u00b0x+ 20%u00b0xxxx