A dog is attached to a 49 foot rope fastened to the outside corner of a fenced-in garden that measures 42 feet by 51 feet. Assuming that the dog cannot enter the garden, compute the exact area that the dog can wander.
Accepted Solution
A:
Assuming that the corner of the fence has right angle, the the area that the dog wandered will be given by: A=θ/360πr² Where: θ=360-90=270° r=49 ft hence the area will be: A=270/360×π×49² A=5657.23 ft² Thus the dog will wander in the area of 5657.23 ft²