Úhly pravidelného 18-úhelníku
Jak velké budou jednotlivé úhly daného pravidelného \( n \)−úhelníku?
\( \large n = 18 \)
\( \large \alpha = \Large \frac{ \left( n-2 \right) \cdot 180\degree }{n}\large = \Large \frac{ \left( 18-2 \right) \cdot 180\degree }{19}\large = \Large \frac{16\cdot 180\degree }{19}\large = \Large \frac{2880\degree }{19}\large = 151.58\degree \)
\( \large \alpha = \Large \frac{ \left( n-2 \right) \cdot 180\degree }{n}\large = \Large \frac{ \left( 18-3 \right) \cdot 180\degree }{18}\large = \Large \frac{15\cdot 180\degree }{18}\large = \Large \frac{2700\degree }{18}\large = 150\degree \)
\( \large \alpha = \Large \frac{ \left( n-2 \right) \cdot 180\degree }{n}\large = \Large \frac{ \left( 18-2 \right) \cdot 180\degree }{18}\large = \Large \frac{16\cdot 180\degree }{18}\large = \Large \frac{2880\degree }{18}\large = 160\degree \)
\( \large \alpha = \Large \frac{ \left( n-2 \right) \cdot 180\degree }{n}\large = \Large \frac{ \left( 18-1 \right) \cdot 180\degree }{18}\large = \Large \frac{17\cdot 180\degree }{18}\large = \Large \frac{3060\degree }{18}\large = 170\degree \)