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All 9 Flashcards — Arc length & sector area
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Question
Arc length formula?
Answer
s = rθ, with θ in radians.
Question
Sector area formula?
Answer
A = ½r²θ, with θ in radians.
Question
What must θ be in for these formulas?
Answer
Radians — convert from degrees first if needed.
Question
How do you find the angle from arc and radius?
Answer
θ = s/r.
Question
Perimeter of a sector?
Answer
Arc + two radii = rθ + 2r.
Question
Area of a segment?
Answer
Sector area minus triangle area: ½r²θ − ½r²sinθ.
Question
Area of the triangle between two radii?
Answer
½r²sinθ (two sides r, included angle θ).
Question
Sector radius 6, angle 1.5 rad — area?
Answer
½(36)(1.5) = 27.
Question
Sector radius 5, arc 15 — angle?
Answer
θ = 15/5 = 3 radians.
Read the notes
Full study notes for Arc length & sector area
Topic 3.4 hub
Radians, arcs & sectors
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Math AA SL exam skills
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