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Prompts ask to name the arc formed by a given angle, identify the central angle corresponding to a given arc, and find the measure of indicated arcs or central angles. Problems include naming major arcs, reading arc measures from diagrams with given angles, and solving for an unknown variable x using expressions tied to arc or central-angle measures, assuming diameter lines are true diameters.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/arcs-and-central-angles-name-the-arc-or-central-angle/522961/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/arcs-and-central-angles-name-the-arc-or-central-angle/522961.png","ImageObject",300,407,{"name":92,"@type":93},"Putri","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you name the arc made by a given angle?","Question",{"text":113,"@type":114},"Use the angle’s vertex and the endpoints it intercepts on the circle to identify the corresponding arc.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What is the central angle for a given arc?",{"text":118,"@type":114},"The central angle has its vertex at the circle’s center and intercepts the arc’s endpoints.",{"name":120,"@type":111,"acceptedAnswer":121},"How are arc and central-angle measures found in these problems?",{"text":122,"@type":114},"Compute the indicated arc or central angle measure from the diagram’s given angle/arc information, and treat any lines that appear to be diameters as actual diameters.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},522961,1791490102,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},962085571259,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Kuta Software-Infinite Geometry Arcs and Central Angles  \nName the arc made by the given angle.  \n1) ∠FQE  \nName  Date  Period   \n2) ∠1  \nName the central angle of the given arc.  \n3) ML  \n4) ML  \nIf an angle is given, name the arc it makes. If an arc is given, name its central angle.  \n5) RS  \n7) ∠KQL  \n6) Major arc for ∠1  \nA  \n8) SVT  \nS  \nFind the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.  \n10)  \n120°  \n11) mCFD  \nE  \nB  \n13) mEFC  \nB  \nC D  \nF  \nE  \n12) m∠SPQ  \nQ  \n14) m∠MIJ  \nJ 55°  \nK  \nI  \nM  \nL  \nSolve for x. Assume that lines which appear to be diameters are actual diameters.  \n15)  \n16)  \nx + 93  \nFind the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.  \n17) mWV  \nW  \nT  \n18) m∠VST  \n−37x + 2  \nV −27x − 3  \nU  \nKuta Software-Infinite Geometry Name   \nArcs and Central Angles Date  Period   \nName the arc made by the given angle.  \n1) ∠FQE  \nFE  \n2) ∠1  \nHI  \nName the central angle of the given arc.  \n3) ML  \n∠1 4) ML  \n∠MQL  \nIf an angle is given, name the arc it makes. If an arc is given, name its central angle.  \n5) RS  \n7) ∠KQL  \n∠RQS  \nKL  \n6) Major arc for ∠1 ACB  \nA  \n8) SVT  \nS  \n∠SQT  \nFind the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.  \n120° 10)  \n123°  \n120°  \n11) mCFD  \nE  \nB  \n306°  \n13) mEFC  \nB  \nC D  \nF  \n234°  \nE  \n12) m∠SPQ  \nQ  \n146°  \n14) m∠MIJ  \nJ 55°  \nK  \nI  \nM  \nL  \n125°  \nSolve for x. Assume that lines which appear to be diameters are actual diameters.  \n15)  \n16)  \nx + 93  \n−3  \nFind the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.  \n17) mWV  \nW  \nT  \n50°  \n18) m∠VST  \n−37x + 2  \nV −27x − 3  \n105°  \nU  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiptQ0Fp4BEAp","https://ap.wps.com/l/cbCaiptQ0Fp4BEAp","pdf",44573,"English","# Name the arc made by the given angle\n# Name the central angle of the given arc\n# Find the measure of the indicated arc or central angle\n# Solve for x","[{\"question\":\"How do you name the arc made by a given angle?\",\"answer\":\"Use the angle’s vertex and the endpoints it intercepts on the circle to identify the corresponding arc.\"},{\"question\":\"What is the central angle for a given arc?\",\"answer\":\"The central angle has its vertex at the circle’s center and intercepts the arc’s endpoints.\"},{\"question\":\"How are arc and central-angle measures found in these problems?\",\"answer\":\"Compute the indicated arc or central angle measure from the diagram’s given angle/arc information, and treat any lines that appear to be diameters as actual diameters.\"}]","Arcs and Central Angles - Name the Arc or Central Angle | PDF",1791426351]