Radians

Radians are a way to measure angles based on the relationship between the length of an arc and the radius of a circle. Imagine wrapping the radius around the edge of a circle to form an arc; the angle that subtends this arc is one radian. One radian equals about 57.3 degrees, providing a natural way to measure angles using the dimensions of the circle itself. Radians are especially useful in math and physics because they simplify many formulas involving angles, making calculations more straightforward and consistent across different applications.