An acre is an area itself, so a 'square acre' doesn't mean anything. The circumference or perimeter depends on the shape of the acre. The smallest value will be for a circle. For an acre which is a perfect square shape, each side equal, the perimeter is 278.3 yards or 834.9 feet
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It depends on the shape of the acre. A rectangular acre will have a different circumference than a square or round one. One acre is 43,560 square feet. If it was in a square shape, each side would be 208.7 ft on each side, so the circumference would be 4 x 208.7 ft or 834.8 ft. But what if the acre were round? Then it would be 739.7 ft in circumference.
A square with an area of one acre ("square acre" is meaningless otherwise) would be 208.71 (approximately) feet on a side, so the perimeter ("circumference" is not the right word to use here) would be four times that, or 834.84 (again, approximately) feet. The circumference of a circle with an area of one acre would be 417.42 (still approximately) feet.
If you have a circle with an area of one acre, the circumference of the circle will be approximately 739.86 feet.
1 acre = 43,560 square feet
Since 'circumference' refers to a circle, if the lake is a circle with an area of six acres, the circumference would be: 2,563 feet.