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A square's area is [13] = =. This formula for the area of a square as the second power of its side length led to the use of the term squaring to mean raising any number to the second power. [15] Reversing this relation, the side length of a square of a given area is the square root of the
That is, the area of the rectangle is the length multiplied by the width. As a special case, as l = w in the case of a square, the area of a square with side length s is given by the formula: [1] [2] A = s 2 (square). The formula for the area of a rectangle follows directly from the basic properties of area, and is sometimes taken as a ...
The square of an integer may also be called a square number or a perfect square. In algebra, the operation of squaring is often generalized to polynomials, other expressions, or values in systems of mathematical values other than the numbers. For instance, the square of the linear polynomial x + 1 is the quadratic polynomial (x + 1) 2 = x 2 ...
Consider completing the square for the equation + =. Since x 2 represents the area of a square with side of length x, and bx represents the area of a rectangle with sides b and x, the process of completing the square can be viewed as visual manipulation of rectangles.
The entire yellow square is one square mile. The hectare (/ ˈ h ɛ k t ɛər,-t ɑːr /; SI symbol: ha) is a non-SI metric unit of area equal to a square with 100-metre sides (1 hm 2), that is, 10,000 square metres (10,000 m 2), and is primarily used in the measurement of land. There are 100 hectares in one square kilometre.
The principal square root function () = (usually just referred to as the "square root function") is a function that maps the set of nonnegative real numbers onto itself. In geometrical terms, the square root function maps the area of a square to its side length.
The volume (V) and surface area (S) of a toroid are given by the following equations, where A is the area of the square section of side, and R is the radius of revolution. V = 2 π R A {\displaystyle V=2\pi RA}
In Russia, central square (Russian: центра́льная пло́щадь, romanised: tsentráĺnaya plóshchad́) is a common term for an open area in the heart of the town. [citation needed] In a number of cities, the square has no individual name and is officially designated Central Square, for example Central Square (Tolyatti).