Circlespart2
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Transcript of Circlespart2
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SemicircleA semicircle is an arc of a circle whose endpoints are the endpoints of the diameter.
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The degree measure of a semicircle is 180.
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Minor ArcAn arc of a circle that is smaller than a semicircle.
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Major ArcAn arc of a circle that is larger than a semicircle.
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Central AngleAn angle whose vertex is the center of the circle.
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60B
E
DA
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The measure of the minor arc is the measure of its central angle in degrees.
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The measure of the major arc is 360 minus the measure of its minor arc.
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60B
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In the same circle or in congruent circles, two minor arcs are congruent iff their central angles are congruent.
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Two arcs of a circle are adjacent nonoverlapping arcs iff they have exactly one point in common.
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The measure of an arc formed by two adjacent non overlapping arc is the sum of the measures of those two arcs.
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JH
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GH and CF are diameters of concentric circles;
mBHJ=35 and mHJ=mKG
1. Find the measures of the following arcs:
HJ, JG, JK, FE, EC, FCE, HLK.
2. State the relationship between HJ and
FE; between HJ and KG
3. If mBH=20, find mHBL and mLG
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A chord corresponds to an arc iff its endpoints are on the circle and on the central angle of the given arc.
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F
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Properties you Properties you have to keep in have to keep in
mind...mind...
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Two minor arcs in the same or congruent circles are congruent if their corresponding chords are congruent.
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If a diameter of the circle is perpendicular to the chord, then the line bisects the chord and its arc.
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Two chords are equidistant from the center iff they are congruent.
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If AG = 4x - 11, BG = 2x - 3, find x and AB
G
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Given that KUFE,KVDC, KGBA
If CD and EF are equidistant from the center andCD = 5y +2 and EF = 8y - 6, solve for CD + EF.
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SYNTHESIS
You have just graduated as a Mechanical Engineer and a company that manufactures barbeque grills just hired you. For your first day at work, here’s your task...
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ASSIGNMENT
On ¼ sheet of paper, answer page 303, CYU 1-5