Angle

Written by Jerry Ratzlaff on . Posted in Geometry

circle diameter 4An angle, abbreviated as \(\:A\:\), \(\:\theta\:\) or \(\:\angle\:\), is formed by two lines having a common point or vertex.

 

Angle formulas

\(\large{ \theta = \frac{ l_a }{ r }   }\) 
\(\large{ \theta = \frac{ 2 \; A_{se} }{ r^2 }   }\) 

Where:

 Units English Metric
\(\large{ \theta }\) = angle \(\large{deg}\) \(\large{rad}\)
\(\large{ l_a }\) = arc length \(\large{in}\) \(\large{mm}\)
\(\large{ r }\) = radius \(\large{in}\) \(\large{mm}\)
\(\large{ A_{se} }\) = sector area \(\large{in^2}\) \(\large{mm^2}\)

 

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