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Trigonometry - Intro Ms. Mougharbel
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Definitions Radian: a unit of angle, equal to an angle at the center of a circle whose arc is equal in length to the radius Degree: a unit of measurement of angles, one three-hundred-and-sixtieth of the circumference of a circle. Arc Length: The distance along the arc (part of the circumference of a circle, or of any curve). Sector Area: The part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle
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Unit Circle
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Formulas Radian Degree = Radians(180/)
Degree Radian = Degrees(/180) Area of a sector: 𝐴= 𝐴𝑟𝑐 𝐷𝑒𝑔𝑟𝑒𝑒 360 (𝜋 𝑟 2 ) Length of an arc: 𝐿= 𝐴𝑟𝑐 𝐷𝑒𝑔𝑟𝑒𝑒 360 (2𝜋𝑟) For a circle: Arc Length = θ × r. (when θ is in radians) Arc Length = (θ × π/180) × r.
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