circumference ~= 18.9 ft
area = π x radius2
⇒ radius = √(area/π)
circumference = 2 x π x radius
⇒ circumference = 2 x π x √(area/π)
⇒ circumference = √(4 x π x area)
⇒ circumference = √(4 x π x 28.3 ft2)
~= 18.858 ft
The area of a square with a perimeter of 12 feet is: 9 square feet.
The shape which minimises the perimeter for a fixed area is a circle. A circle of radius 7.334 ft (approx) will have the required area and a perimeter (circumference) of just 46.084 ft. The quadrilateral with the smallest perimeter will be a square with sides of 13 feet: a perimeter of 4*13 = 52 feet. Any regular polygon with more than 4 sides will have a smaller perimeter, for the same area, than a square.
Knowing the area doesn't tell you the perimeter. There are an infinite number of different sizes and shapes with different perimeters that all have the same area. The shortest possible perimeter for any area is a circle. The shortest possible perimeter for any area with straight sides is a square. And also by the way, there are many different units for area. "Feet" is not one of them. "Square feet" is.
The area of a hexagon with a perimeter of 24 feet is about 41.6 square feet.
The area of a square with a 12-foot perimeter is: nine square feet.
The area of a square with a perimeter of 22.33 feet is: 31.16 square feet.
The perimeter of a square with an area of 9 square feet is: 12 feet.
The area of a square with a perimeter of 12 feet is: 9 square feet.
Any value greater than 224.2 feet. A circle with a circumference of 224.2 ft (approx) has an area of 4000 square feet. By strectching the circle along one axis and making it narrower along another (making the circle into an ellipse), its perimeter can be increased without changing its area. There is no upper limit to the perimeter.
Perimeter of which geometry (square, circle, rectangle, triangle, ...)
The area of a square that has a perimeter of 12 feet is: nine square feet.
The area of a square with a perimeter of 12 feet is: 9 square feet.
Perimeter is 36 feet.
Perimeter is 40 feet.
The shape which minimises the perimeter for a fixed area is a circle. A circle of radius 7.334 ft (approx) will have the required area and a perimeter (circumference) of just 46.084 ft. The quadrilateral with the smallest perimeter will be a square with sides of 13 feet: a perimeter of 4*13 = 52 feet. Any regular polygon with more than 4 sides will have a smaller perimeter, for the same area, than a square.
Knowing the area doesn't tell you the perimeter. There are an infinite number of different sizes and shapes with different perimeters that all have the same area. The shortest possible perimeter for any area is a circle. The shortest possible perimeter for any area with straight sides is a square. And also by the way, there are many different units for area. "Feet" is not one of them. "Square feet" is.
The area is 256 square feet.