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Circles ,Line S egments and Their L ength relationships

Circles ,Line S egments and Their L ength relationships. Segments from the center perpendicular to chords. A. C. p. B. D. In the same circle or congruent circles, two chords are congruent if and only if they are equidistant from the chords. AB = CD.

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Circles ,Line S egments and Their L ength relationships

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  1. Circles ,Line Segments and Their Length relationships

  2. Segments from the center perpendicular to chords A C p B D In the same circle or congruent circles, two chords are congruent if and only if they are equidistant from the chords. AB = CD

  3. If a diameter or piece of a diameter is perpendicular to a chord then the segment or diameter bisects the chords. A Q C P B Name all congruent segments in the diagram. R D

  4. Parts of the Chord If two chords intersect in the interior of a circle then the product of their segments are equal. (x+1) (x+3) (x + 5) (x + 2) Solve for x:

  5. Secants and Their Segments If two secants intersect outside the circle, the product of the segment outside and the whole of one secant is equal to the product of the segment outside and the whole of the other. 10x + 2 12x - 3 9 8 Solve for x and the lengths of the chords

  6. Area Of a Sector (the green area) A = Π r2 (m˚/360˚) Find the Area of the sector with central angle >DOE. D 8 in. 50˚ E

  7. Area of a Segment (the blue area) A = Πr2 (m˚/360˚) – ½ bh 5 60˚ P Find the area of the blue segment.

  8. Arc Length L =2Πr(m˚/360˚) Find the arc length of arc xy. X 10in. 60˚ Y

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