Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

What is the side length of a regular hexagon with area 100 square centimeters

Sagot :

Answer:

area= about 6.2 cm

Step-by-step explanation:

well, we know is a hexagon, so it has 6 sides, HEXA = 6.

[tex]\textit{Area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\cdot cot\left( \frac{180^o}{n} \right)~~ \begin{cases} n=\textit{number of sides}\\ s=\textit{length of a side}\\[-0.5em] \hrulefill\\ A=100\\ n=6 \end{cases}\implies 100=\cfrac{1}{4}(6)s^2\cdot cot\left( \frac{180^o}{6} \right) \\\\\\ 400=6s^2\cdot cot(30^o)\implies 400=6s^2\cdot \sqrt{3}\implies \cfrac{400}{6\sqrt{3}}=s^2 \\\\\\ \sqrt{\cfrac{400}{6\sqrt{3}}}=s\implies 6.2\approx s[/tex]

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.