As shown above, the radius is therefore 5 units. The area of the circle is A
= πr^2 = 25π. The area of a hexagon with side length x is given as
The shaded portion is Areacircle − Areahexagon, orThe percentage of the shaded portion can be found by dividing this area
by the area of the circle: 13.588 ÷ 25π ≈ 0.173, or 17.3%.41 . D
Draw a picture of the situation to solve the problem:
As shown in the diagram above, the dog has or 0.75, of a circle in
which to move. The circle has a radius equal to the length of the chain, 6
ft. The area the dog has to move in is therefore 0.75(π)(6^2 ) ≈ 84.82 ft^2.