How to explain that the angles can be measured in linear dimensions ( cm . ) ?

flat corner - it is part of the plane included between the sides of the angle and the logic should be expressed in terms of area .But the angles can be measured by the linear dimensions of the unit circle .For example, 180 degrees are equal to the diameter of 120 degrees is equal to the square root of three, etc.

  • bezdelnik Not different segments of the unit circle, which is a curve, and different line segments in the unit circle. 01 August 2016
  • bezdelnik Something is not clear why the two points on a circle connected by a straight line " is a new word in geometry? " 01 August 2016
  • Андреева Ольга This is not a circle, with all due respect. 01 August 2016
  • Андреева Ольга And therefore, in this case, we have not seen the circle and triangle. 01 August 2016
  • Андреева Ольга Straight segments in the circle? ...it's A new word in geometry? So remember the sports commentator, said " in the upper right corner of the center circle ":)) ) 01 August 2016
  • bezdelnik I do not mean angular degrees and radians, and the linear dimensions of the various segments in the unit circle 01 August 2016
  • Андреева Ольга Not linear dimensions, and angular or radians. Radian is not linear dimension.
    P.s.Commenting, and feel terrible deja vu.
    01 August 2016
  • Андреева Ольга Different " segments " of the unit circle, not called segments and curves, and are measured in radians. 01 August 2016
  • bezdelnik Yes, if the ends of the line segment to hold the radii it is an isosceles triangle is located inside the circle. But to build a triangle is not necessary. 01 August 2016
  • bezdelnik Course, straight line connecting two points on the circle is not a circle or part circle. 01 August 2016