Question
a dog is tied to a leash that is hooked to the outside corner of a barn that measures 12 x 20 feet. the length of the leash is 16 feet. what is the maximum are in which the dog can wander?
Answers
Make sure you have a diagram for this.
I had the dog being able to run 3/4 of a circle with a radius of 16 ft.
At that point the leash would bend around the other point of the barn along the shorter side of 12ft giving another 1/4 circle of radius 4 feet.
total area = (3/4)π(16^2) + 1/4(π(4^2))
= 192π + 4π = 196π square feet
I had the dog being able to run 3/4 of a circle with a radius of 16 ft.
At that point the leash would bend around the other point of the barn along the shorter side of 12ft giving another 1/4 circle of radius 4 feet.
total area = (3/4)π(16^2) + 1/4(π(4^2))
= 192π + 4π = 196π square feet
thank you.. this is what i thought. just double checking