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Bench reference · 254 terms

Words worth knowing

Start with the plain-language meaning, then reach for the technical definition when you need precision.

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Radian

Also: rad

Link to term
In plain language

An angle unit defined by arc length divided by radius.

Technical definition

One full turn is 2π radians; radian measure makes derivatives and angular equations take their standard form.

Units
radian (rad), dimensionless
Formula
θ = s/r

Example A 90° quarter-turn equals π/2 radians.

Common misconception A calculator in radian mode will not interpret the number 60 as 60 degrees.