Úhly osmiúhelníku
Jak velké budou jednotlivé úhly daného pravidelného \( n \)−úhelníku?
\( \large n = 8 \)
\( \large \alpha = \Large \frac{ \left( n-2 \right) \cdot 180\degree }{n}\large = \Large \frac{ \left( 8-1 \right) \cdot 180\degree }{8}\large = \Large \frac{7\cdot 180\degree }{8}\large = \Large \frac{1260\degree }{8}\large = 157.5 \degree \)
\( \large \alpha = \Large \frac{ \left( n-2 \right) \cdot 180\degree }{n}\large = \Large \frac{ \left( 8-2 \right) \cdot 180\degree }{9}\large = \Large \frac{6\cdot 180\degree }{9}\large = \Large \frac{1080\degree }{9}\large = 120 \degree \)
\( \large \alpha = \Large \frac{ \left( n-2 \right) \cdot 180\degree }{n}\large = \Large \frac{ \left( 8-2 \right) \cdot 180\degree }{8}\large = \Large \frac{6\cdot 180\degree }{8}\large = \Large \frac{1080\degree }{8}\large = 135 \degree \)
\( \large \alpha = \Large \frac{ \left( n-2 \right) \cdot 180\degree }{n}\large = \Large \frac{ \left( 8-3 \right) \cdot 180\degree }{8}\large = \Large \frac{5\cdot 180\degree }{8}\large = \Large \frac{900\degree }{8}\large = 112.5 \degree \)