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One radian is the angle subtended in a unit circle by an arc of length:

AOne unit
BTwo units
CFour units
DNine units
Answer & Solution
Correct answer: A. One unit
1. The circle must have radius one unit. 2. The arc length fixes the angle. 3. The arc is one unit long. _Source: NCERT Class 11 Mathematics, Ch 3 'Trigonometric Functions'_
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