Dimension of Angle: Learn LL^-1 from Course Book

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The dimension of an angle is expressed as [LL^-1], indicating that it is dimensionless. Angles measured in radians represent the ratio of arc length to radius, which is a fundamental concept from high school geometry. Regardless of measurement units, angles maintain the same dimensionality, which is none, with only conversion factors differing. The discussion highlights a contrast in educational approaches, particularly referencing the teaching methods in Pakistan. Understanding these principles clarifies the nature of angles in mathematical contexts.
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In my course I am curios to know how the dimension of angle becomes [LL^-1]. The following pic is taken by course book.



http://i42.tinypic.com/iy2y3r.jpg
 
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When angles are measured in radians, they are simply the ratio of arclength divided by radius ... as taught in high school geometry, at least in the USA.
 
An important note to make is that regardless of the units you're using to measure an angle, its dimensions are still the same, none. :) The only difference is a conversion factor.
 
Redbelly98 said:
When angles are measured in radians, they are simply the ratio of arclength divided by radius ... as taught in high school geometry, at least in the USA.
Thanks that helps :!) . What a damn books in Pakistan they taught.
 

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