degree

a specific identifiable position in a continuum or series or especially in a process

“a remarkable degree of frankness”

a measure for arcs and angles

“there are 360 degrees in a circle”

an award conferred by a college or university signifying that the recipient has satisfactorily completed a course of study

“he earned his degree at Princeton summa cum laude”

a position on a scale of intensity or amount or quality

“it is all a matter of degree”

a unit of temperature on a specified scale

“the game was played in spite of the 40-degree temperature”

the highest power of a term or variable

the seriousness of something (e.g., a burn or crime)

“murder in the second degree”