r=5cm r=1/3 h R=2/3 h ---------- > R =2r R=2*5cm=10cm P=πR² P=10²π P=100π cm² pole koła opisanego
[latex]r - promien okregu wpisanego\R - promien okregu opisanego[/latex] [latex]r = 5 cm\i\r = frac{1}{3}h\\R = frac{2}{3}h = 2*5cm = 10 cm\\P_{op} = pi R^{2}=pi*10^{2}}\\P_{op} = 100pi cm^{2}[/latex] [latex]Lub[/latex] [latex]r = frac{asqrt{3}}{6}\\frac{asqrt{3}}{6} = 5 |*6\\asqrt{3}} = 30 /:sqrt{3}\\a = frac{30}{sqrt{3}}*frac{sqrt{3}}{sqrt{3}}=frac{30sqrt{3}}{3}=10sqrt{3} cm[/latex] [latex]R = frac{asqrt{3}}{2}=frac{10sqrt{3}*sqrt{3}}{3} = frac{10*3}{3} = 10 cm\\P = pi R^{2} = pi *10^{2}\\P_{op} = 100 pi cm^{2}[/latex]
