[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-207765-en":3,"doc-seo-207765-105":31,"detail-sidebar-cat-0-en-105":92},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":21,"is_downloadable":21,"audit_status":21,"page_count":22,"language":23,"language_code":24,"site_id":25,"html_lang":24,"table_of_contents":26,"faqs":27,"seo_title":28,"seo_description":14,"update_tm":29,"read_time":30},207765,137451211410,"\tCallum ","https://ap-avatar.wpscdn.com/avatar/2000bb0a9246f588df?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786362646172706240",4,"Exam","Circle Theorems Videos 64/65 - Corbettmaths","Set of Corbettmaths circle theorems practice questions covering missing angles in circles, lengths of sides and labeled segments, and determining sizes of unknown angles. Problems progress from basic angle-finding to diameter identification and multi-part diagram sets. Later questions introduce tangents, asking for values involving x and y and calculations of tangent-related side lengths. Suitable for revision of circle geometry using diagram-based reasoning.","Circle Theorems Videos 64/65 on Corbettmaths  \nClick here  \nQuestion 1: Find the missing angles labelled in each of these circles  \n(a) (b) (c)  \n© CORBETTMATHS 2018  \nCircle Theorems Videos 64/65 on Corbettmaths  \n© CORBETTMATHS 2018  \nCircle Theorems Videos 64/65 on Corbettmaths  \nQuestion 2: Calculate the length of sides labelled in the circles below  \n(a) (b) (c)  \nQuestion 3: Calculate the length of sides labelled in the circles below  \n(a) (b) (c)  \nQuestion 4: Calculate the size of the missing angles  \n(a) (b) (c)  \nQuestion 5: State, with a reason, if AB is the diameter in each circle below.  \n(a) (b) (c)  \n© CORBETTMATHS 2018  \nCircle Theorems Videos 64/65 on Corbettmaths  \nQuestion 6: Find the missing angles labelled in each of these circles  \n(a) (b) (c)  \n(e)  \n(h) (i)  \n(k)  \n(f)  \n(l)  \n© CORBETTMATHS 2018  \nCircle Theorems Videos 64/65 on Corbettmaths  \n(n) (o)  \n(q) (r)  \n(t) (u)  \n(w) (x)  \n© CORBETTMATHS 2018  \nCircle Theorems Videos 64/65 on Corbettmaths  \nQuestion 7: Find the missing angles labelled in each of these circles  \n(a) (b) (c)  \n(e) (f)  \n(h) (i)  \n(l)  \n© CORBETTMATHS 2018  \nCircle Theorems Videos 64/65 on Corbettmaths  \n(m) (n) (o)  \n(p) (q)  \nQuestion 8: Find the missing angles labelled in each of these circles  \n(a) (b) (c)  \n(d) (e) (f)  \n© CORBETTMATHS 2018  \nCircle Theorems Videos 64/65 on Corbettmaths  \n(g) (h) (i)  \n(j) (k) (l)  \n(m) (n) (o)  \n© CORBETTMATHS 2018  \nCircle Theorems Videos 64/65 on Corbettmaths  \nQuestion 9: Find the values of x and y  \n(a) (b) (c)  \nQuestion 10: Find the value of x in each diagram. The lines AB and AC are tangents.  \n(a) (b)  \n(c) (d)  \n(e) (f)  \n© CORBETTMATHS 2018  \nCircle Theorems Videos 64/65 on Corbettmaths  \n(g)  \n(h)  \nQuestion 11: Calculate the length of sides labelled in the circles below. The lines AB and ACare tangents.  \n(a) (b) (c)  \nQuestion 12: Calculate the size of x in the circles below. The lines AB and AC are tangents.  \n(a) (b) (c)  \n(d) (e) (f)  \n© CORBETTMATHS 2018","cbCaigD5WKTMDRe8","https://ap.wps.com/l/cbCaigD5WKTMDRe8","pdf",3066212,6,1,11,"English","en",105,"# Question 1\n# Question 2\n# Question 3\n# Question 4\n# Question 5\n# Question 6\n# Question 7\n# Question 8\n# Question 9\n# Question 10\n# Question 11\n# Question 12","[{\"question\":\"What kinds of questions are included in Circle Theorems Videos 64/65?\",\"answer\":\"The set includes questions on finding missing angles, calculating lengths of labeled sides, and determining unknown angle sizes in circle diagrams.\"},{\"question\":\"How is Question 5 different from the angle-finding questions?\",\"answer\":\"Question 5 asks whether AB is the diameter in each circle, requiring a reason in addition to the conclusion.\"},{\"question\":\"Are there questions that request multiple values within the same diagram set?\",\"answer\":\"Yes. Question 6 through Question 8 include multiple subparts (e.g., a, b, c, etc.) where missing angles are found across several circle diagrams.\"}]","Circle Theorems Videos 64/65 - Corbettmaths | PDF",1788601082,28,{"code":4,"msg":32,"data":33},"ok",{"site_id":25,"language":24,"slug":34,"title":13,"keywords":35,"description":14,"schema_data":36,"social_meta":87,"head_meta":89,"extra_data":91,"updated_unix":29},"circle-theorems-videos-6465-corbettmaths","",{"@graph":37,"@context":86},[38,54,69],{"@type":39,"itemListElement":40},"BreadcrumbList",[41,45,49,52],{"item":42,"name":43,"@type":44,"position":21},"https://docshare.wps.com","Home","ListItem",{"item":46,"name":47,"@type":44,"position":48},"https://docshare.wps.com/document/","Document",2,{"item":50,"name":12,"@type":44,"position":51},"https://docshare.wps.com/document/exam/",3,{"item":53,"name":13,"@type":44,"position":11},"https://docshare.wps.com/document/circle-theorems-videos-6465-corbettmaths/207765/",{"url":53,"name":13,"@type":55,"author":56,"headline":13,"publisher":58,"fileFormat":61,"inLanguage":24,"description":14,"dateModified":62,"datePublished":63,"encodingFormat":61,"isAccessibleForFree":64,"interactionStatistic":65},"DigitalDocument",{"name":9,"@type":57},"Person",{"url":42,"name":59,"@type":60},"DocShare","Organization","application/pdf","2026-09-08","2026-09-05",true,{"@type":66,"interactionType":67,"userInteractionCount":20},"InteractionCounter",{"@type":68},"ViewAction",{"@type":70,"mainEntity":71},"FAQPage",[72,78,82],{"name":73,"@type":74,"acceptedAnswer":75},"What kinds of questions are included in Circle Theorems Videos 64/65?","Question",{"text":76,"@type":77},"The set includes questions on finding missing angles, calculating lengths of labeled sides, and determining unknown angle sizes in circle diagrams.","Answer",{"name":79,"@type":74,"acceptedAnswer":80},"How is Question 5 different from the angle-finding questions?",{"text":81,"@type":77},"Question 5 asks whether AB is the diameter in each circle, requiring a reason in addition to the conclusion.",{"name":83,"@type":74,"acceptedAnswer":84},"Are there questions that request multiple values within the same diagram set?",{"text":85,"@type":77},"Yes. 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