### Topic Page: Square

**square**

*The Hutchinson Unabridged Encyclopedia with Atlas and Weather Guide*

In geometry, a quadrilateral (four-sided) plane figure with all sides equal and each angle a right angle. Its diagonals bisect each other at right angles. The area A of a square is the length l of one side multiplied by itself (A = l × l).

Also, any quantity multiplied by itself is termed a square, represented by an exponent of power 2; for example, 4 × 4 = 4^{2} = 16 and 6.8 × 6.8 = 6.8^{2} = 46.24.

An algebraic term is squared by doubling its exponent and squaring its coefficient if it has one; for example, (x^{2})^{2} = x^{4} and (6y^{3})^{2} = 36y^{6}. A number that has a whole number as its square root is known as a perfect square; for example, 25, 144, and 54,756 are perfect squares (with roots of 5, 12, and 234, respectively).

essays

Calculating powers and square roots

Angles in a polygon

Pythagoras' theorem: working out angles

weblinks

BEATCALC: Beat the Calculator

images

square

squares, cubes, square roots, and cube roots

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