Radians (Radius Invariance Property) Figure

Radius Invariance Property
Radians (Radius Invariance Property)


This figures illusrates how the ratio of arc-length over ratio for the angle doesn’t change for two radius choices. This radius invariant property is one of the reason that radians are the preferred system for measuring angles This is discussed on the concept page for radians and in the page which discusses radians vs. degrees.