A circular sector or circle sector also known as a pie piece is the portion of a circle enclosed by two radii and an arc. Its area can be calculated as described below. In Euclidean geometry, a circle is the set of all points in a plane at a fixed distance, called the radius, from a fixed point, the centre. ... RADIUS (Remote Authentication Dial In User Service) is an AAA (authentication, authorization and accounting) protocol for applications such as network access or IP mobility. ... The term Arc is derived from the Latin word arcus meaning bow. Look up arc in Wiktionary, the free dictionary. ... Area is a quantity expressing the size of a figure in the Euclidean plane or on a 2-dimensional surface. ...
Let θ be the central angle, in radians, and R the radius. The total area of a circle is π R2. The area of the sector can be obtained by multiplying the circle's area by the ratio of the angle and 2π (because the area of the sector is proportional to the angle, and 2π is the angle for the whole circle) Diagram of a sector (part of a circle) This image has been released into the public domain by the copyright holder, its copyright has expired, or it is ineligible for copyright. ... The radian (symbol: rad, or a superscript c ( half circle)) is the SI unit of plane angle. ...
Also, if θ refers to the central angle in degrees, a similar formula can be derived. Look up degree in Wiktionary, the free dictionary. ...
In geometry, a circular segment (also circle segment) is an area of a circle informally defined as an area which is "cut off" from the rest of the circle by a secant or a chord.
Let R be the radius of the circle, c the chord length, s the arc length, h the height of the segment, and d the height of the triangular portion.
The area of the circular segment is equal to the area of the circularsector minus the area of the triangular portion.
The sector axes and the sectors are lifted clear of the lugs by the vertical rnotion mechanism and the restoring arms return to the home position ready to be lowered for the next cycle.
The circular motion of the sector axes therefor consist of a drive stroke which restores the number to the figure wheel and a return stroke, separated again by timing gaps and phased with the vertical motions.
In the case of the circular motion cams the timing diagram and the angular distribution of events round the cam correspond exactly; in the case of the vertical motion cams, there were occasionally slight deviations.
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