**Properties**

- The circle is the shape with the largest area for a given length of perimeter. (See Isoperimetric inequality.)
- The circle is a highly symmetric shape: every line through the centre forms a line of reflection symmetry and it has rotational symmetry around the centre for every angle. Its symmetry group is the orthogonal group O(2,
*R*). The group of rotations alone is the circle group**T**. - All circles are similar.
- A circle's circumference and radius are proportional.
- The area enclosed and the square of its radius are proportional.
- The constants of proportionality are 2π and π, respectively.

- The circle which is centred at the origin with radius 1 is called the unit circle.
- Thought of as a great circle of the unit sphere, it becomes the Riemannian circle.

- Through any three points, not all on the same line, there lies a unique circle. In Cartesian coordinates, it is possible to give explicit formulae for the coordinates of the centre of the circle and the radius in terms of the coordinates of the three given points. See circumcircle.

Read more about this topic: Circle

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Kiawah Island, South Carolina - Real Estate Market

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**properties**are located directly on the beach or just a short distance away, and there are numerous golf course**properties**and lagoon view**properties**as well ...Zamak 4

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**properties**Property Metric value English value Mechanical**properties**Ultimate tensile strength 317 MPa 46,000 psi Yield strength (0.2 ...Zamak 5

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**properties**Property Metric value English value Mechanical**properties**Ultimate tensile ...Zamak 7

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**properties**Property Metric value English value Mechanical**properties**Ultimate tensile strength 285 MPa 41,300 ...Geophysics - Physical Phenomena - Mineral Physics

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**properties**of minerals must be understood to infer the composition of the Earth's interior from seismology, the geothermal gradient and other sources of information ... Mineral physicists study the elastic**properties**of minerals their high-pressure phase diagrams, melting points and equations of state at high pressure and the rheological ... Water is a very complex substance and its unique**properties**are essential for life ...### Famous quotes containing the word properties:

“A drop of water has the *properties* of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”

—Ralph Waldo Emerson (1803–1882)

“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the *properties* of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”

—John Locke (1632–1704)