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New unit to express magnitude of angle is called

  • A.cosine
  • B.radian
  • C.circumference
  • D.area

Answer: B

The radian is the unit of angle defined by the circle itself: the angle subtended at the centre by an arc equal in length to the radius.

\[ 2\pi \text{ radians} = 360^{\circ}, \qquad 1 \text{ radian} \approx 57.3^{\circ} \]

Unlike the degree, it is a pure ratio of two lengths, which is why formulas such as \( s = r\theta \) hold only in radians.

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