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A square has a larger area than any other quadrilateral with the same perimeter. A square tiling is one of three regular tilings of the plane (the others are the equilateral triangle and the regular hexagon). The square is in two families of polytopes in two dimensions: hypercube and the cross-polytope. The Schläfli symbol for the square is {4}.
Miles square. Square miles should not be confused with miles square, a square region with each side having a length of the value given. For example, a region which is 20 miles square (20 mi × 20 mi) has an area of 400 sq mi; a rectangle of measuring 10 mi × 40 mi also has an area of 400 sq mi, but is not 20 miles square. Section
A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference . Calculating the perimeter has several practical applications. A calculated perimeter is the length of fence required to surround a yard or garden.
Area is the measure of a region 's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area can be understood as the amount of material with a given thickness that would be necessary to ...
The area of a regular polygon is half its perimeter multiplied by the distance from its center to its sides, and because the sequence tends to a circle, the corresponding formula–that the area is half the circumference times the radius–namely, A = 1 2 × 2πr × r, holds for a circle.
The only equable rectangles with integer sides are the 4 × 4 square and the 3 × 6 rectangle. An integer rectangle is a special type of polyomino, and more generally there exist polyominoes with equal area and perimeter for any even integer area greater than or equal to 16. For smaller areas, the perimeter of a polyomino must exceed its area.
Circle packing in a square is a packing problem in recreational mathematics, where the aim is to pack n unit circles into the smallest possible square. Equivalently, the problem is to arrange n points in a unit square aiming to get the greatest minimal separation, dn, between points. [1] To convert between these two formulations of the problem ...
The square kilometre ( square kilometer in American spelling; symbol: km2) is a multiple of the square metre, the SI unit of area or surface area . 1 km 2 is equal to: 1,000,000 square metres (m 2) 100 hectares (ha) It is also approximately equal to: 0.3861 square miles [2] 247.1 acres [3] Conversely: