An angle of 180 degrees expressed in radians is

Correct answer: B. pi

  • A. pi over 2
  • B. pi
  • C. 2 pi
  • D. 3 pi over 2

Explanation

A complete revolution of 360 degrees is 2 pi radians, so half a revolution is pi radians, roughly 3.14. A quarter turn of 90 degrees is pi over 2. Converting between the two is simply multiplying by pi over 180 in one direction and by 180 over pi in the other.

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About Angular Displacement

Angular displacement measures the change in a body’s angular position and is expressed in radians or degrees, with anticlockwise and clockwise directions assigned signs. It connects to arc length, angular velocity and angular acceleration, and must be distinguished from ordinary linear displacement in rotational motion.

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