A rectangular building is \(4\) meters by \(6\) meters. A dog is tied to a rope that is \(10\) meters long, and the other end is tied to the midpoint of one of the long sides of the building. Find the total area of the region that the dog can reach (not including the inside of the building), in square meters.
If you get \(26.704, 314, 111, \text{or } 10\Pi -24\) check your work those are wrong.
The rope cannot pass through the walls of the building.