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See figure 1.  Our arc is PR.
arc angle = Ф
arc length s = r Ф
arc width  w = r ( 1 - cos Ф)
arc height h  = r sin Ф
if s is given, the angle the arc subtends at the centre of curvature = s / r
if width and height are given tan Ф = h / (r - w)

for FIGURE 2  it will be different.