Question 37082
The question asks you to compare the area of the circular bullseye to the area of the hexagon.  The area of the hexagon is found by A = 1/2(a)(p) where a is the apothem and p is the perimeter.  The apothem can be found by looking at the height of the equilateral traingles that make up a regular hexagon.  It is 7 radical 3.  So the hexagon's area is
A = (1/2)(7 radical 3)(84) = 294 radical 3 or about 509.2 sq cm.  
The area of the bullseye is 
A = (pi)r^2 = (1/4)(pi)d^2 = (9/4)(pi) or about 7.065 sq cm.

By dividing the two areas, we get 1.387% chance of hitting a bullseye if the arrows hit the target randomly.  That means 1.387 arrows per hundred hit the bullseye.