In angular measurement, one radian is equivalent to ________ degree (approximately).

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RRB ALP Fitter 23 Jan 2019 Official Paper (Shift 3)
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  1. 65.27
  2. 57.27
  3. 90
  4. 180

Answer (Detailed Solution Below)

Option 2 : 57.27
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Concept:

The radian is the SI unit for measuring angles, and is the standard unit of angular measure used in many areas of mathematics. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends.

Now, π radian = 180°

⇒ 1 radian = 180°/π

⇒ 1 radian = 180°/(22/7)

⇒ 1 radian = 180° × (7/22) = 57.27°
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