Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

What is the area of a 20 sided regular polygon with a side length of 10 (for each side).


Sagot :

[tex]A=5a^2(1+\sqrt5+\sqrt{5+2\sqrt5})\\ A=5\cdot10^2\cdot(1+\sqrt5+\sqrt{5+2\sqrt5})\\ A=500(1+\sqrt5+\sqrt{5+2\sqrt5})\\ A\approx3157[/tex]


[tex]\alpha=\dfrac{(n-2)\cdot180}{n}\\\\ \alpha=\dfrac{(20-2)\cdot180}{20}\\ \alpha=\dfrac{18\cdot180}{20}\\ \alpha=162[/tex]