Chuck the llama is tied to the corner of a 2m by 3m shed on a 4m leash. How much area (in square meters) does Chuck have in which to play if he can go only around the outside of the shed?
area = 13pi + pi/4 = 41.626 m2
Chuck will have 3/4 of the area of a circle of radius 4 3/4 pi (4)^2 = 12 pi
PLUS one quarter circle of radius 2 1/4 pi(2)^2 = pi
PLUS one quarter circle of radius 1 1/4 pi (1)^2 = pi/4 total = (13 1/4) pi = 41.63 m2