Dog's playground
Geometry
Level
1
A dog was tied using a 5-meter rope tethered to the wall 3 meters from the corner outside of a rectangular house. What is the maximum ground area the dog can possibly cover?
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1 solution
The dog can possibly cover a semicircular and a quarter circular areas. The semicircular area will have a maximum radius of 5m while the quarter circular area will have a maximum radius of 2m. Hence, the total area is the sum of both.