pi radius squared. (radius squared, then multiply by pi.)
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I don't know what a 'right circular' is
The area of a rug does not provide enough information to determine its dimensions. For a start, it is not even possible to determine the shape of the rug: circular, oval, square, rectangular or some other shape.
The area is not sufficient information to determine the length and width. The area is not even enough to determine the shape: a circular plot, square, rectangle, triangular, irregular. And, even if you knew it was rectangular, it could be long and thin or short and squat.
Without knowing the shape of the garden, it is not possible to determine the area based solely on the perimeter. The area of a garden depends on its shape, whether it is rectangular, square, circular, or irregular.
The area is 110637.523 sqm.