Moderate

Radian is a unit of angular displacement which can also be measured in degrees. How many radians are equal to one degree?

Correct answer: B. pi/180

  • A. 180/pi
  • B. pi/180
  • C. 2pi/ 180
  • D. pi/57.3

Explanation

360 degrees is one complete rotation, which in radians is 2pi (approximately 6.28).To work out the equivalent angular displacement in radians for 1 degree, divide 2pi by 360, i.e. 1 whole rotation in radians by the number of degrees in one rotation to find out what 1 degree is.(2pi)/360 = 0.0175 radians is equivalent to 1 degree.

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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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