A Short Leash

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?

@joe-shmo
I assume he is outside the shed?

@bigdoggproblem said
@joe-shmo
I assume he is outside the shed?

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

@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