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HomeCBSE Class 11mathematicsTrigonometric Functions — Radian/Degree, Arc Length, Unit Circle, Quadrant Signs, Domain/Range › The radius of a circle where a central angle of …

The radius of a circle where a central angle of 60° intercepts an arc of length 37.4 cm (use π = 22/7) is:

A35.7 cm
B17.85 cm
C71.4 cm
D11.9 cm
Answer & Solution
Correct answer: A. 35.7 cm
60° = π/3 radians. r = l/θ = 37.4/(π/3) = 37.4 × 3/π = 37.4 × 3 × 7/22 = 35.7 cm.
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