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Windfreak Technologies Frequency Synthesizers - RF Cafe

Geometry - Arcs & Circles

Here are formulas for some of the most commonly used arcs and circles. Equations for area and circumference are provided.


  K = area

  R = radius

  D = diameter

  C = circumference

  θ = central angle (radians)

Circumference of a Circle - RF CafeCircumference and Area

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Circumference of an Ellipse - RF CafeEllipse

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Circumference of an Annulus - RF CafeSector of an Annulus

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Sector and Segment - RF CafeSector and Segment

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Parabolic Segment - RF CafeParabolic Segment

K (right segment)  - RF Cafe

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3D Parabolic Segment - RF CafeK (oblique segment)  - RF Cafe, where T is the area of the triangle

with the base along the chord of the segment and with

opposite vertex at the point on the parabola at which the

tangent to the parabola is parallel to the chord of the segment.

Source: CRC Standard Math Tables, 1987

Windfreak Technologies Frequency Synthesizers - RF Cafe
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