Question

Find EXACT area of regular hexagon (keep in radical form)

Answer 1

Answer:

1. $24\sqrt{3}$   2. $162\sqrt{2}$

Step-by-step explanation:

1. The area of a hexagon is A = $\frac{3\sqrt{3} }{2} a^{2}$

Here our a is 4, so plugging in 4 to our equation gives $\frac{3\sqrt{3} }{2} (4^{2})$ which simplifies to $24\sqrt{3}$

2. The area of an octagon is $2\sqrt{2} r^{2}$

Here our r is 9, so plugging in 9 to our equation gives $2\sqrt{2} (9^{2} )$ which simplifies to $162\sqrt{2}$