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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 and Area

Ellipse

- RF Cafe (approx)

Sector of an Annulus

Sector and Segment

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Parabolic Segment

K (right segment)

- RF Cafe

3D Parabolic Segment - RF Cafe K (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

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 tying up your telephone line, and a nice lady's voice announced "You've Got Mail" when a new message arrived...

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