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Since C = 2πr, the circumference of a unit circle is 2π. In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. [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.
These varying definitions are not generally reflected in the map of Asia as a whole; for example, Egypt is typically included in the Middle East, but not in Asia, even though the bulk of the Middle East is in Asia. The demarcation between Asia and Africa is the Suez Canal, the Gulf of Suez, the Red Sea, and the Bab-el-Mandeb.
The radian, denoted by the symbol rad, is the unit of angle in the International System of Units (SI) and is the standard unit of angular measure used in many areas of mathematics. It is defined such that one radian is the angle subtended at the centre of a circle by an arc that is equal in length to the radius. [ 2 ]
Liu Hui's method of calculating the area of a circle. Liu Hui's π algorithm was invented by Liu Hui (fl. 3rd century), a mathematician of the state of Cao Wei.Before his time, the ratio of the circumference of a circle to its diameter was often taken experimentally as three in China, while Zhang Heng (78–139) rendered it as 3.1724 (from the proportion of the celestial circle to the diameter ...
The chord function is defined geometrically as shown in the picture. The chord of an angle is the length of the chord between two points on a unit circle separated by that central angle. The angle θ is taken in the positive sense and must lie in the interval 0 < θ ≤ π (radian measure).
The Unit Circle is a circle of radius 1 unit, oftenly used to define the functions of trigonometry. In this diagram, individual points on the unit circle are labeled first with its coordinates (exact values), with the angle in degree angular measure, then with radian angular measure. Points in the lower hemisphere have both positive and ...
The magnitude of an object's solid angle in steradians is equal to the area of the segment of a unit sphere, centered at the apex, that the object covers. Giving the area of a segment of a unit sphere in steradians is analogous to giving the length of an arc of a unit circle in radians. Just as the magnitude of a plane angle in radians at the ...
Maps are also available as part of the Wikimedia Atlas of the World project in the Atlas of Asia Wikimedia Commons has media related to Maps of Asia . Subcategories