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There are three possibilities for the arc that lies between the sides of an angle (at the centre of the circle):

  1. semi-circle
  2. minor arc
  3. major arc

With any two points of the circumference of a circle they will make an angle at the centre of the circle.

If the angle is 180o, then the two points lie on either end of a diameter and both arcs are the same length and are a semi-circle.

Otherwise, the minor arc is the shorter of the two arcs, the major one is the longer one:

  • The minor arc is the side of the angle that is smaller, ie the angle is acute (< 90o), a right angle (= 90o) or obtuse (> 90o & < 180o).
  • The major arc is the side of the angle that is bigger, ie the angle is reflex (> 180o).
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11y ago
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Q: What is defined to be an arc that lies between the sides of an obtuse inscribed angle?
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