Question

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch radius A = sq. in.

Answer 1

27
`√(3)`

Answer 2

`\bf \textit{area of an equilateral triangle}\\\\ A=\cfrac{s^2√(3)}{4}\qquad \begin{cases} s=length~of\\ \qquad a~side\\ -------\\ s=6 \end{cases}\implies A=\cfrac{6^2√(3)}{4}\implies A=\cfrac{36√(3)}{4} \\\\\\ A=9√(3)`