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IB Maths AI SL 3.4 Arc length & sector area

IB Maths AI SL 3.4 Arc length & sector area
IB Maths AI syllabusFirst assessment 2021

Students practise calculating arc lengths and sector areas using θ in radians, often within compound shapes involving circles, triangles, and shaded regions.

How this is tested

  • apply s = rθ or A = ½r²θ with θ converted from degrees or found via right-triangle trig in diagrams
  • find shaded area by subtracting the triangle area from the sector area
  • combine arc length with straight-line segments using fraction-of-circle reasoning
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