alleryIn a circle of radius r, an arc of length l subtends a central angle θ (in radians) such that:
Aθ = lr
Bl = θ/r
Cl = rθ
Dθ = r + l
Answer & Solution
Correct answer: C. l = rθ
By definition of radian, an arc of length r subtends an angle of 1 radian.
Hence an arc of length l subtends angle l/r radians
→ θ = l/r, i.e. l = rθ.
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