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Download Study Portfolio - New Paltz Central School District
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Geometry Reflective Portfolio Unit #10: Circles This needs to be one page front and back only! Section #1: Vocabulary (words and/or diagrams) Diameter Radius Chord Tangent Secant Central angle Inscribed angle Minor arc Major arc Semi-circle Sector Circumference Intercepted arc Common tangent Internal tangent External tangent Radian measure Degree measure Section #2: Formulas/Equations/Theorems Write out each angle theorem: central, inscribed, angles formed by intersecting chords, tangent-chord angle, outside angles formed tangents or secants. Write out each segment measure theorems: intersecting chords, 2 tangents, 2 secants, and tangent and secant. Tangent-radius theorem Chord theorems: 1) equidistant from center 2) parallel chords 3) chord perpendicular to diameter(radius) Inscribed polygon theorem Formulas: arc length in degree measure and radian measure Formulas: area of a sector in degree measure and radian measure Section #3: Key methods and concepts (show the process by solving each example) How do you convert 120o into radian measure? 5 How do you convert into degree measure? 6 Find the arc length of arc AB in degree measure. Leave in terms of pi Find the area of the sector AOB in degree measure. Leave in terms of pi Find the arc length labeled ‘s” in radian measure. Leave in terms of pi Find the area of the sector enclosed by arc “s” in radian measure. Leave in terms of pi Check your answers below! Remember you must show work! Find the arc length of arc AB in degree measure. Leave in terms of pi 20 9 Find the area of the sector AOB in degree measure. Leave in terms of pi 50 9 Find the arc length labeled ‘s” in radian measure. Leave in terms of pi Find the area of the sector enclosed by arc “s” in radian measure. Leave in terms of pi 3 2
