# Square - Other Facts

Other Facts

• The diagonals of a square are (about 1.414) times the length of a side of the square. This value, known as Pythagoras' constant, was the first number proven to be irrational.
• A square can also be defined as a parallelogram with equal diagonals that bisect the angles.
• If a figure is both a rectangle (right angles) and a rhombus (equal edge lengths), then it is a square.
• If a circle is circumscribed around a square, the area of the circle is (about 1.571) times the area of the square.
• If a circle is inscribed in the square, the area of the circle is (about 0.7854) times the area of the square.
• 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}.
• The square is a highly symmetric object. There are four lines of reflectional symmetry and it has rotational symmetry of order 4 (through 90°, 180° and 270°). Its symmetry group is the dihedral group D4.
• If the inscribed circle of a square ABCD has tangency points E on AB, F on BC, G on CD, and H on DA, then for any point P on the inscribed circle,

### Other articles related to "other facts, facts, fact":

Chomedey, Quebec - Other Facts
... The postal codes for this area begin with H7S, H7T, H7V, H7N and H7W ... Land-based telephone numbers are assigned the 450 area code ...
Lilia Luciano - Other Facts
... In 2009, People en Español selected Luciano in their 50 Most Beautiful people issue. ...
Facts
... Facts usually refers to the usage as a plural noun of fact, an incontrovertible truth ... Facts may also refer to Carroll, Lewis, who wrote a poem called "Facts" FACTS (newspaper), program produced by Asia Television in Hong Kong Flexible AC transmission system ...

### Famous quotes containing the word facts:

But lest I should mislead any when I have my own head and obey my whims, let me remind the reader that I am only an experimenter. Do not set the least value on what I do, or the least discredit on what I do not, as if I pretended to settle any thing as true or false. I unsettle all things. No facts are to me sacred; none are profane; I simply experiment, an endless seeker with no Past at my back.
Ralph Waldo Emerson (1803–1882)

All the facts of nature are nouns of the intellect, and make the grammar of the eternal language. Every word has a double, treble or centuple use and meaning.
Ralph Waldo Emerson (1803–1882)