degree vs intensity

degree and intensity both are nouns.

Word	Noun	Adjective	Verb	Adverb
degree	Yes	No	No	No
intensity	Yes	No	No	No

As nouns, intensity is a hyponym of degree; that is, intensity is a word with a more specific, narrower meaning than degree:

degree (noun)	intensity (noun)
a position on a scale of intensity or amount or quality	high level or degree; the property of being intense
the seriousness of something (e.g., a burn or crime)	chromatic purity: freedom from dilution with white and hence vivid in hue
the highest power of a term or variable	the magnitude of sound (usually in a specified direction)
an award conferred by a college or university signifying that the recipient has satisfactorily completed a course of study	the amount of energy transmitted (as by acoustic or electromagnetic radiation)
a measure for arcs and angles
a unit of temperature on a specified scale
a specific identifiable position in a continuum or series or especially in a process