Question

Can someone please help me p.s. round to the nearest tenths

Answer 1

Answer:

Apothem:

radius is the same length as the base/length of each side of the hexagon.

r = 8

use pythagorean theorem to calculate the apothem

$4^2+a^2=8^2\\\\16+a^2=64\\\\a^2=48\\\\a= 6.928$

≈ 6.9

Area

$A = \frac{3\sqrt{3} }{2} *a^2\\\\=\frac{3\sqrt{3} }{2}(6.928)^2\\\\=124.7$