in which unit plane is measured
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By which unit is a plane angle measured?
Every angle, planar or not, is measured in units of either
degrees (°), of which there are 360 in a circle (or in a single revolution), 180 in a half-circle (or a straight angle), 90 in a right angle, etc.
radians (no unit symbol, but “rad” is sometimes used for clarity), of which there are 2π in a circle (or in a single revolution), π in a half-circle (or a straight angle), π2 in a right angle, etc.
Degrees can be an easier unit to work with, and they’re typically the one that’s learned first, but radians are actually a much more natural and sensible unit that is used heavily in science and engineering, and makes many trigonometric calculations significantly simpler.
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