Radians definitions Flashcards
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RadianA unit for measuring angles based on the arc length equal to the radius of a circle, approximately 57 degrees.DegreeA traditional unit for measuring angles, with a full circle divided into 360 equal parts.Full CircleAn angle measuring 360 degrees or 2π radians, representing one complete revolution around a circle.CircumferenceThe total distance around a circle, calculated as 2π times the radius.RadiusThe straight-line distance from the center of a circle to any point on its edge.PiA mathematical constant, approximately 3.14159, representing the ratio of a circle's circumference to its diameter.Conversion FormulaA mathematical expression used to change angle measurements between degrees and radians.Fraction of PiA way to express radian measures as multiples or divisions of π, such as π/2 or 3π/2.Multiple of PiA radian measure expressed as a whole number times π, like 2π or π.Unit CancellationA process in conversions where matching units in numerators and denominators are eliminated to yield the desired unit.ThetaA common variable used to represent an unknown or general angle in mathematical expressions.Arc LengthThe distance measured along the curved line forming part of the circumference of a circle.Angle MeasureA numerical value that quantifies the size of an angle, typically in degrees or radians.Quarter CircleAn angle equal to one-fourth of a full circle, or 90 degrees, which is π/2 radians.Half CircleAn angle equal to half of a full circle, or 180 degrees, which is π radians.