A dog’s leash is 4 \mathrm{~m} long and is attached to the corner of a 2 \mathrm{~m} \times 2 \mathrm{~m} square doghouse at C, as shown. The dog is attached to the other end of the leash, at D.
The dog is attached to the other end of the leash, at D. What is the area outside of the doghouse in which the dog can play?
Answer Choices
A. 14 \pi \:\mathrm{m}^{2}
B. 16 \pi\: \mathrm{m}^{2}
C. 20 \pi\: \mathrm{m}^{2}
D. 15 \pi\: \mathrm{m}^{2}
E. 24 \pi\: \mathrm{m}^{2}