Odpowiedź:
Zadanie 1. Odpowiedź B
[tex]L=2\pi \: r[/tex]
[tex]22\pi = 2\pi \: r \: \: \: | \div 2\pi\\11 = r[/tex]
[tex]d = 2r \\ d = 2 \times 11 \\ d = 22[/tex]
Zadanie 2 Odpowiedź A
[tex]P=\pi \: {r}^{2} \\ P=\pi {6}^{2} \\ P=36\pi[/tex]
[tex]P=\pi \times {4}^{2} \\ P=16\pi[/tex]
[tex]Pole \: zacieniowane=36\pi - 16\pi = 20\pi[/tex]
Zadanie 3. odpowiedź A
[tex]P=\pi {r}^{2} \\ 25\pi = \pi {r}^{2} \: \: \: | \div \pi \\25 = {r}^{2} \: \: \: | \sqrt{} \\ 5 = r[/tex]
Zadanie 4
[tex]a) \: 2.5 \times 4\pi = 10\pi \\ b)2.5\pi \: + 3.4\pi = 5.9\pi \\ c) \: \frac{15\pi}{3} = 5\pi[/tex]
Zadanie 5.
[tex]P= {r}^{2} \times \pi \\ P= {8}^{2} \times \pi \\ P=64\pi[/tex]
[tex]L=2\pi \: r \\ L= 2\pi \times 8 \\ L= 16\pi[/tex]
Zadanie 6.
[tex]P= {r}^{2} \pi \\ 1.69\pi = {r}^{2} \pi \: \: \: \: | \div \pi \\ 1.69 = {r}^{2} \: \: \: \: | \sqrt{} \\ 1.3 = r[/tex]
[tex]L \: = 2\pi \: r \\ L= 2\pi \times 1.3 \\ L= 2.6\pi \: dm[/tex]
Zadanie 7
a)
[tex]L=2\pi \times 5 \\ L=10\pi \\ \\ L=2\pi \times 10 \\ L=20\pi \\\\ L=2\pi \times 15 \\ L=30\pi[/tex]
długość
[tex]10\pi + 20\pi + 30\pi + 10 + 20 + 30 = 60\pi + 60[/tex]
b)
[tex]L=2\pi5 \\ L=10\pi \\L= \frac{1}{2} (2\pi \times 25) \\ L= \frac{1}{2} \times 50\pi \\ L=25\pi[/tex]
Długość
[tex]10\pi + 25\pi + 10 + 10 + 20 + 20 + 50 + 10 + 10 = 35\pi + 130[/tex]
Zadanie 8
[tex]10 - 3 + 2 = 7 + 2 = 9[/tex]
Odcinek AB ma długość 10
