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relate x, y, r
x² + y² = r²
relate x and r
x = rcosθ
relate y and r
y = rsinθ
relate y and x and theta
tanθ = y/x
sin²θ
(1-cos(2θ))/2
cos²θ
(1+cos(2θ))/2
Polar arc length
L = int (sqrt(r² + (dr/dθ)² )dθ)