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radians
angle measurement method that simplifies certain calculations
2π radians = 360°
1 radian = 180/π°
arc length
l = r𝜃
sector area
A = (1/2)r²𝜃
segment area
(1/2)r²(𝜃 - sin𝜃)
(where the segment line is drawn between the two points of contact between the sector and the circumference)
small angle approximations
when 𝜃 is close to zero and measured in radians, we cam approximate:
-sin𝜃 = 𝜃
cos𝜃 = 1 - (𝜃^2/2)
tan𝜃 = 𝜃