START First steps Deutsch Plane and sphere : Circular arcs

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From two or three (almost) arbitrary input quantities of a circular arc all other quantities are computed, optionally including an . In case of only two input quantities it is tried to compute as much as possible. If two solutions exist, both are computed.

Angle unit    Note

QuantityValue
Circular arc and its quantities

The arc must be shorter than the semi-circle.

Abegin of arc
Ppoint on arc
Eend of arc
Mcentre of circle
Tintersection of tangents
Qdropped perp. foot on chord
ATtangent at A
ETtangent at E
r=MA=MEradius
b=b1+b2arc lengths
s=AElong chord
h=PQchord offset
x,ycoordinates w.r.t. AT
F1area of triangle MAE
F2circular segment area
F3tangent area
F12=F1+F2circular sector area

Did you know? Blue-grounded input areas may be left blank.