Definitions for unit circle
unit cir·cle

WiktionaryRate this definition:0.0 / 0 votes

1. unit circlenoun

   A circle of radius 1.

2. unit circlenoun

   The circle of radius 1 with centre at the origin, used in defining trigonometric functions.

WikipediaRate this definition:0.0 / 0 votes

1. Unit circle

   In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane. In topology, it is often denoted as S1 because it is a one-dimensional unit n-sphere.If (x, y) is a point on the unit circle's circumference, then |x| and |y| are the lengths of the legs of a right triangle whose hypotenuse has length 1. Thus, by the Pythagorean theorem, x and y satisfy the equation Since x2 = (−x)2 for all x, and since the reflection of any point on the unit circle about the x- or y-axis is also on the unit circle, the above equation holds for all points (x, y) on the unit circle, not only those in the first quadrant. The interior of the unit circle is called the open unit disk, while the interior of the unit circle combined with the unit circle itself is called the closed unit disk. One may also use other notions of "distance" to define other "unit circles", such as the Riemannian circle; see the article on mathematical norms for additional examples.

WikidataRate this definition:5.0 / 1 vote

1. Unit circle

   In mathematics, a unit circle is a circle with a radius of one. Frequently, especially in trigonometry, the unit circle is the circle of radius one centered at the origin in the Cartesian coordinate system in the Euclidean plane. The unit circle is often denoted S¹; the generalization to higher dimensions is the unit sphere. If is a point on the unit circle, then |x| and |y| are the lengths of the legs of a right triangle whose hypotenuse has length 1. Thus, by the Pythagorean theorem, x and y satisfy the equation Since x² = ² for all x, and since the reflection of any point on the unit circle about the x- or y-axis is also on the unit circle, the above equation holds for all points on the unit circle, not only those in the first quadrant. One may also use other notions of "distance" to define other "unit circles", such as the Riemannian circle; see the article on mathematical norms for additional examples.

How to pronounce unit circle?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

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   Indian

   Priya

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   Neerja

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   Zira

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   Oliver

   British

   Wendy

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   South African

How to say unit circle in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of unit circle in Chaldean Numerology is: 6

2. Pythagorean Numerology

   The numerical value of unit circle in Pythagorean Numerology is: 6

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Unit_Circle
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Unit_Circle
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=unit circle