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Circles – Central Angles G.C.A.2 Hw Section 12.3 Name__________________
Geometry Page 1 of 2
41° 100°
55°
120°
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146°
31°
108°
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36° D
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85°
40°H
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#1) Determine the arc measure. 푚𝐷퐹 = _________ m퐸𝐶𝐴 = _________ 푚𝐴퐹 = _________ m𝐶퐹𝐷 = _________ #2) Determine the arc measure. 푚𝐴𝐶 = _________ 푚𝐷𝐴퐺 = _________ 푚𝐴𝐷 = _________ 푚𝐷𝐴퐹 =_________ #3) Determine the arc measure. 푚𝐴퐸 = _________ 푚𝐴𝐵 = _________ 푚𝐶𝐷𝐵 = _________ 푚𝐵𝐷 = _________ #4) Determine the arc measure. 푚퐿퐽 = _________ 푚퐾퐽 = _________ 푚퐺퐽퐾 = _________ 푚퐾퐿퐼 = _________ #5) Fill in the of the missing arcs on the circle. 푚𝐴𝐶 = 117°, 푚𝐵퐸 = 111°, 푚𝐵𝐴 = 91°
#6) Fill in the of the missing arcs on the circle. 푚퐽퐿퐾 = 302°, 푚퐿퐺 = 168° #7) From the given diagram, determine whether the arcs are Major, Minor or Semi-Circle. To describe the arc without giving it way through notation we will refer to clockwise and counterclockwise (counter cw).
F to G, clockwise Major Minor Semi A to F, clockwise Major Minor Semi J to C, clockwise Major Minor Semi K to D, clockwise Major Minor Semi D to I, counter cw Major Minor Semi C to A, counter cw Major Minor Semi F to J, clockwise Major Minor Semi G to I, counter cw Major Minor Semi #8) The teacher asks a student to write the name for the arc from A to B on the board. Jackie comes up writes 𝐴𝐵 or 𝐵𝐴. Jeff raises his hand and says that he has a different answer. What might his answer be if it is different than Jackie’s?
Clockwise
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You 302
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Isisis
2140 340
144S7324 1441230 36
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800ISS 40165 15528003200
60 630
260HemightsayAFBwhichis a major arc
Circles – Central Angles G.C.A.2 Hw Section 12.3 Name__________________
Geometry Page 2 of 2
#9) Given Circle B with diameters 퐻𝐶, 𝐷𝐴 and 퐸퐺.
m�DBH = ___________ 푚𝐷𝐶퐸 = ___________ 푚퐻퐺 = ___________ 푚퐻𝐶퐹 = ___________ m�HBA = ___________ m�DBA = ___________ #10) Given concentric circles with 푚퐺퐹 = 76°, 푚∠퐻퐼퐸 =147°, and 𝐶𝐴 and 퐹퐻 are diameters.
푚𝐶𝐵 = __________ 푚퐻퐸 = __________ 푚𝐵𝐷𝐶 = _________ m�CIB = _________
#11) Given concentric circles with 푚𝐵𝐶 = 31°, 푚∠퐹퐾퐽 =68°, and 퐸𝐵is a diameter.
푚퐸𝐷 = __________ m�GKH= __________ 푚𝐴𝐵𝐶 = _________ m�AKB = _________ #12) Given a regular octagon. Answer each question.
m�APB = __________ m�HPF = __________ 푚𝐴퐺퐸 = __________ 푚퐺퐸𝐴 = __________ m�GPF = __________ m�PAH = __________ m�PGE = __________ If HD = 12 cm, then GE = _________ #13) Points A, B, C, D, and E are placed on circle R in this order such that there are five congruent arcs. What is the 푚𝐵𝐶퐸 =?
22°61° 38° A
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E C
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68°
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