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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





Circumference of an Ellipse - RF CafeEllipse

(approx)

Circumference of an Annulus - RF CafeSector of an Annulus

 

   
   
Sector and Segment - RF CafeSector and Segment






 



                   
Parabolic Segment - RF CafeParabolic Segment

K (right segment)


3D Parabolic Segment - RF CafeK (oblique segment) , 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

RF Cafe Software

RF Cascade Workbook
 RF Cascade Workbook is a very extensive system cascaded component Excel workbook that includes the standard Gain, NF, IP2, IP3, Psat calculations, input & output VSWR, noise BW, min/max tolerance, DC power cauculations, graphing of all RF parameters, and has a graphical block diagram tool. An extensive User's Guide is also included. - Only $35.
RF system analysis including
frequency conversion & filters

Smith Chart™ for Excel
Smith Chart™ for Visio
RF & EE Symbols Word
RF Stencils for Visio
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