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RF Cascade Workbook 2018 - 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
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Copyright: 1996 - 2024
Webmaster:
    Kirt Blattenberger,
    BSEE - KB3UON

RF Cafe began life in 1996 as "RF Tools" in an AOL screen name web space totaling 2 MB. Its primary purpose was to provide me with ready access to commonly needed formulas and reference material while performing my work as an RF system and circuit design engineer. The World Wide Web (Internet) was largely an unknown entity at the time and bandwidth was a scarce commodity. Dial-up modems blazed along at 14.4 kbps while typing up your telephone line, and a nice lady's voice announced "You've Got Mail" when a new message arrived...

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