5.1 Arcs Intro
 ◡Just as a SECTORof a circle is part ofthe AREA.......An ARC of a circleis part of theCIRCUMFERENCE The ARC of a circle has the same angle measureas the central angle that forms it.120∘arc?central angle? MQ and NR are diameters.  Find the indicated measure.(arc MN has the same measure as angle MON)NM82PO63Qarc MN =R∘ MQ and NR are diameters.  Find the indicated measure.(arc MN has the same measure as angle MON)NM82PO63Qarc MN =RVerticalAnglesare ≅63∘ MQ and NR are diameters.  Find the indicated measure.arc QRNM82P∘O63QR MQ and NR are diameters.  Find the indicated measure.NM82PO63Qarc PQ =R∘ Everydiameterhas acentral angleof 180.MQ and NR are diameters.  Find the indicated measure.N◡M82PO63Qarc PQ =RCentral angle   180   -82   -63    3535∘ MQ and NR are diameters.  Find the indicated measure.arc NQNM82∘PO63QR MQ and NR are diameters.  Find the indicated measure.arc NQRNM82P∘O63QR MQ and NR are diameters.  Find the indicated measure.arc MRNM82P∘O63QR MQ and NR are diameters.  Find the indicated measure.arc PRNNM82PO63∘QR 12070∘∘120∘12070∘∘Congruent chordsform congruent arcsCongruent chordsform congruent arcs Find arc MN.MPN∘68Q∘ Find arc MN.MPN∘76Q∘ M4x∘PN80QCongruent chordsform congruent arcs4x =x =∘∘ The arc MNis congruent toto which arc?????M85∘PN arc MP arc PQ arc QN arc MQ65∘Q M85∘PN65∘QArc MN is congruent to arc PQ.(≅ chords form ≅ arcs)If arc MN is represented bythe variable x,what variable should beused to representcongruent (≅) arc PQ? Complete theequation withthe totalmeasureof every arcon the circle85+65+x+x =Mx85∘∘PN65x∘∘Q∘ Mx85∘∘PN65x∘∘∘Q85+65+x+x =+= 360360 Mx85∘∘PN65x∘∘Q-15015085+65+x+x =+2x2x =x == 360360-150∘∘
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