have a bendy ruler or go by sides
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No they do not unless it is a circle with radius (180/pi) and the angles are measured in degrees, or a circle with radius (1/pi) and the angles are measured in radians.
The angles measured in radians are about 57.3 degrees. A measurement of an angle in radians is equal to the length of its corresponding arc in the circle.
*If two pair of tangent of inner circle making angles on the circumference of outer circle then the angles so formed are equal . *Any two tangent of inner circle within the outer circle's circumference are equal in length .
Angles are measured with a protractor in degrees, minutes and seconds.
A circle has 360 degrees because angles are measured in degrees and and a full rotation of an angle is 360 degrees.