The fraction of a circle represented by the shaded region is: S '/ S = ((8/5) * pi * r) / (2 * pi * r) Rewriting we have: S '/ S = ((8/5)) / (2) S '/ S = 8/10 S '/ S = 4/5 Then, we can make the following rule of three: (64/5) pi -------> 4/5 x ----------------> 1 Clearing x we have: x = ((1) / (4/5)) * ((64/5) pi) Rewriting: x = (5/4) * ((64/5) pi) x = (5/4) * ((64/5) pi) x = 50.24 Answer: The area of the complete circle is: x = 50.24
