1. a) P=10cm^2 [latex]P=pi r^{2} r[/latex] [latex]r=sqrt{P:pi[/latex] [latex]r=sqrt{10cm^{2}:pi}=10cm:pi[/latex] b) P=400m^{2} [latex]r=sqrt{400m^{2}:pi}=400m:pi[/latex] 2. r=4 P[latex]P=pi r^{2} \ P=pi*4^{2} \ P=pi*16=16pi[/latex] d=4 r=2 [latex]P=pi2^{2}=4pi[/latex] [latex]16pi-4pi=12pi[/latex] [latex]r=frac{1}{4}\ P=pi frac{1}{4}^{2}=frac{1}{8}pi[/latex] [latex]16pi-frac{1}{8}pi=15frac{7}{8}pi[/latex] r=1 [latex]P=pi1^{2}=1pi=pi[/latex] [latex]16pi-pi=15pi[/latex]
[latex]P=pi r^{2}[/latex] zadanie 11 a.) [latex]P=16pi cm^{2}[/latex] [latex]pi r^{2} = 16 pi[/latex] - pi się skraca [latex]r^{2} = 16[/latex] [latex]r = sqrt{16}[/latex] r=4cm b.) [latex]P=10cm^{2}[/latex] [latex]pi r^{2}=10 /:pi[/latex] [latex]r^{2}= frac{10}{pi}[/latex] [latex]r=sqrt{frac{10}{pi}}[/latex][latex]r=frac{sqrt{10}*sqrt{pi}}{sqrt{pi}*sqrt{pi}}[/latex] [latex]r=frac{sqrt{10 pi}}{pi}[/latex] c.) [latex]P=400m^{2} [/latex] [latex]pi r^{2} = 400 / : pi[/latex] [latex]r^{2}=frac{400}{pi}[/latex] [latex]r= sqrt{frac{400}{pi}}[/latex] [latex]r=frac{sqrt{400}*sqrt{pi}}{sqrt{pi}*sqrt{pi}}[/latex] [latex]r=frac{sqrt{400 pi}}{pi}[/latex] zadanie 12 P=pi r^2 P1=pi* 4^2 P1=16 pi a.) P=pi r^2 P1=pi* 4^2 P1=16 pi d=4 r=2 P2=pi*2^2 P2=4 pi 16 pi - 4 pi = 12 pi b.) P2=pi 1/4^2 P2= 1/16 pi 16 pi - 1/16 pi = 15 i 15/16 pi c.) P1= pi 1^2 P1= 1 pi 16 pi - 1 pi = 15 pi PS. mam dobrze sprawdzałam w odpowiedziach a to rozw. u góry ma źle w zadaniu 12 w przykładzie b
