The central angle of a hexagon is 60°. Dividing it by two will give us 30°. The side opposite to 30° is 2 inches, multiplied by 2 is 4 inches. Thus, each side of the hexagon is 4 inches. Also, the apothem is 2sqrt(3). The area of the figure is calculated through the equation, A = 0.5aP where a is apothem and P is perimeter Substituting, A = 0.5(2sqrt3)(4 x 6) = 24sqrt3 The answer is approximately 41.57 in².
