Zamień miarę stopniową kąta na łukową, jeśli"
a)
b)
c)=150 stopni
d)=90 stopni
c)
d)
a) 30 / 180 * = /6 0,52 rad
b) 120 / 180 * = 2 rad
c) 150 / 180 * = 2,61 rad
d) 90 / 180 * = /2 1,57 rad
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a)![\frac{\pi}{360^o}=\frac{30}{360}\\ \alpha=\frac{1}{12}*2\pi \\\alpha=\frac{\pi}{6} \frac{\pi}{360^o}=\frac{30}{360}\\ \alpha=\frac{1}{12}*2\pi \\\alpha=\frac{\pi}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%7D%7B360%5Eo%7D%3D%5Cfrac%7B30%7D%7B360%7D%5C%5C+%5Calpha%3D%5Cfrac%7B1%7D%7B12%7D%2A2%5Cpi+%5C%5C%5Calpha%3D%5Cfrac%7B%5Cpi%7D%7B6%7D)
b)![\frac{120}{180}=\frac{\alpha}{\pi}\\ \alpha=\frac{2}{3}\pi \frac{120}{180}=\frac{\alpha}{\pi}\\ \alpha=\frac{2}{3}\pi](https://tex.z-dn.net/?f=%5Cfrac%7B120%7D%7B180%7D%3D%5Cfrac%7B%5Calpha%7D%7B%5Cpi%7D%5C%5C+%5Calpha%3D%5Cfrac%7B2%7D%7B3%7D%5Cpi)
c)![\frac{150}{180}=\frac{\alpha}{\pi}\\ \alpha=\frac{5}{6}\pi \frac{150}{180}=\frac{\alpha}{\pi}\\ \alpha=\frac{5}{6}\pi](https://tex.z-dn.net/?f=%5Cfrac%7B150%7D%7B180%7D%3D%5Cfrac%7B%5Calpha%7D%7B%5Cpi%7D%5C%5C+%5Calpha%3D%5Cfrac%7B5%7D%7B6%7D%5Cpi)
d)![\frac{90}{180}=\frac{\alpha}{\pi}\\\alpha=\frac{\pi}{2} \frac{90}{180}=\frac{\alpha}{\pi}\\\alpha=\frac{\pi}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B180%7D%3D%5Cfrac%7B%5Calpha%7D%7B%5Cpi%7D%5C%5C%5Calpha%3D%5Cfrac%7B%5Cpi%7D%7B2%7D)
a) 30 / 180 *
=
/6
0,52 rad
b) 120 / 180 *
= ![\frac{2}{3} \frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
2 rad
c) 150 / 180 *
= ![\frac{5}{6} \frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
2,61 rad
d) 90 / 180 *
=
/2
1,57 rad