I need to double check something here:

Find the shaded area of the regular hexagonal donut. The apothem and sides of the smaller hexagon are 1/2 as long as the apothem and sides of the larger hexagon, respectively. a = 6.9 cm and r = 8 cm.

The problem is that I get an area of 503 cm^2 and the supposed correct answer is 497 cm^2. Now, this is small enough to perhaps be a rounding problem, but I can't construct the 497 cm^2 solution. Any takers?

-Dan