Asked in ETEA MDCAT 2005 2005Moderate

The angle subtended by the circumference of a circle at its centre:

Correct answer: A. 2π radians

  • A. 2π radians
  • B. π radians
  • C. 270 degrees
  • D. 180 degrees

Explanation

The circumference covers the entire length of the circle, so the angle subtended by it must be equal to the maximum angle in the circle, i.e. 2π radians or 360°. Therefore, A is the correct answer.

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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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