Dlugosc luku:
[tex]l = 2\pi r * \frac{\alpha}{360}[/tex]
Pole wycinka
[tex]P=\pi r^2*\frac{\alpha}{360}[/tex]
cw. 2
a)
[tex]r = 8cm\\\alpha = 90\\l=2\pi r*\frac{\alpha}{360}=16\pi cm*\frac{9}{36}=\frac{144}{36}\pi cm=4\pi cm[/tex]
b)
[tex]r=24dm\\\alpha=45\\l=48\pi dm*\frac{45}{360}=6\pi dm[/tex]
c)
[tex]r=12m\\\alpha=270\\l=24\pi m * \frac{27}{36}=18\pi m[/tex]
Cw. 3
a)
[tex]r = 12cm\\\alpha = 30\\P = \pi r^2*\frac{\alpha}{360} = 144\pi cm^2* \frac{3}{36}=12\pi cm^2[/tex]
b)
[tex]r=3cm\\\alpha=40\\P=9\pi cm^2*\frac3{36}=\frac34\pi cm^2[/tex]
c)
[tex]r=6cm\\\alpha=240\\P=36\pi cm^2*\frac{24}{36}=24\pi cm^2[/tex]