Posers and Puzzles
RemovedRemoved- Joined
- 10 Dec '06
- Moves
- 8528
In a grassy field, a goat is tethered by a rope with length 6 ft to the corner of a rectangular shed with side lengths 4 ft and 5 ft.
What area of grass can the goat graze?
on the payroll
- Joined
- 26 Nov '04
- Moves
- 155080
@joe-shmo
I assume he is outside the shed?
Removed- Joined
- 10 Dec '06
- Moves
- 8528
@bigdoggproblem said
@joe-shmo
I assume he is outside the shed?
Yep...no silly tricks.
on the payroll
- Joined
- 26 Nov '04
- Moves
- 155080
I've got
3/4 of a circle of radius 6', plus
1/4 of a circle of radius 1', plus
1/4 of a circle of radius 2'.
The small circles are where he turns the corner and continues grazing.
π(6)² * 3/4 + π/4 + π ≈ 88.75 ft²
Removed- Joined
- 10 Dec '06
- Moves
- 8528
@bigdoggproblem said
I've got
3/4 of a circle of radius 6', plus
1/4 of a circle of radius 1', plus
1/4 of a circle of radius 2'.
The small circles are where he turns the corner and continues grazing.
π(6)² * 3/4 + π/4 + π ≈ 88.75 ft²
Correct!
Cookies help us deliver our Services. By using our Services or clicking I agree, you agree to our use of cookies. Learn More.I Agree