[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-347409-105":59,"doc-detail-347409-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","geometry-and-mensuration-200-formulas-and-basic-questions","Geometry and Mensuration - 200 Formulas and Basic Questions","","A geometry and mensuration practice resource focused on preparing for CAT and related MBA entrance examinations. It organizes the theory into two parts: two-dimensional geometry and mensuration, followed by three-dimensional mensuration. The content emphasizes mastering basic conversions, angle types and definitions, and key angle relationships formed by parallel lines and transversals. It also highlights exam-ready skills built through formula application and visual understanding of figures and solids.",{"@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/geometry-and-mensuration-200-formulas-and-basic-questions/347409/",{"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/geometry-and-mensuration-200-formulas-and-basic-questions/347409.png","ImageObject",300,407,{"name":92,"@type":93},"Jordan Avery","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-07","2026-09-22",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How is the geometry and mensuration theory organized in this chapter?","Question",{"text":113,"@type":114},"The theory is divided into two parts: Part I covers geometry and mensuration of two-dimensional figures, and Part II covers mensuration of three-dimensional figures.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What are the basic unit conversions included in the chapter?",{"text":118,"@type":114},"The chapter provides conversions such as meters to centimeters and millimeters, kilometers to meters and miles, inches to centimeters, and weight/area/litre conversions for quick calculation.",{"name":120,"@type":111,"acceptedAnswer":121},"What key angle types and relationships are taught?",{"text":122,"@type":114},"It defines acute, right, obtuse, straight, and reflex angles, then covers adjacent, complementary, supplementary, vertical angles, and angle formations from parallel lines cut by a transversal.","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},347409,1790379240,{"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":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":145,"read_time":146,"preview_page_count":4},1099523882367,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","The chapters on geometry and mensuration have their own share of questions in the CAT and other MBA entrance examinations. For doing well in questions based on this chapter, the student should familiarise himself/herself with the basic formulae and visualisations of the various shapes of solids and two-dimensional figures based on this chapter.  \nThe following is a comprehensive collection of formulae based on two-dimensional and three-dimensional figures:  \nFor the purpose of this chapter we have divided the theory in two parts:  \n∑ Part I consists of geometry and mensuration of twodimensional figures  \n∑ Part II consists of mensuration of three-dimensional figures.  \nPart I: GEOMEtrY  \n IntrOductIOn  \nGeometry and Mensuration are important areas in the CAT examination. In the Online CAT, the Quantitative Aptitude section has consisted of an average of 15–20% questions from these chapters. Besides, questions from these chapters appear prominently in all major aptitude based exams for MBAs, Bank POs, etc.  \nHence, the student is advised to ensure that he/she studies this chapter completely and thoroughly. Skills to be developed while studying and practising this chapter will be based on the application of formula and visualisation of figures and solids.  \nThe principal skill required for doing well in this chapter is the ability to apply the formulae and theorems.  \nThe following is a comprehensive collection of formulae based on two-dimensional figures. The student is advised to remember the formulae in this chapter so that he is able to solve all the questions based on this chapter.  \n thEOrY  \n\n| Basic conversions |  |\n| --- | --- |\n| A. 1 m = 100 cm = 1000 mm 1 km = 1000 m\u003Cbr>= 5/8 miles\u003Cbr>1 inch = 2.54 cm\u003Cbr>C. 100 kg = 1 quintal\u003Cbr>10 quintal = 1 tonne = 1000 kg\u003Cbr>1 kg = 2.2 pounds (approx.) | B. 1 m = 39.37 inches\u003Cbr>1 mile = 1760 yd = 5280 ft\u003Cbr>1 nautical mile (knot)= 6080 ft\u003Cbr>D. 1 litre = 1000 cc\u003Cbr>1 acre = 100 sq m\u003Cbr>1 hectare = 10000 sq m |\n\n tYPEs Of anGlEs  \nBasic definitions  \nacute angle: An angle whose measure is less than 90 degrees. The following is an acute angle.  \nIV.8 How to Prepare for Quantitative Aptitude for CAT  \nrightangle: An angle whose measure is 90 degrees. The following is a right angle.  \nObtuse angle: An angle whose measure is bigger than 90 degrees but less than 180 degrees. Thus, it is between 90 degrees and 180 degrees. The following is an obtuse angle.  \nstraightangle: Is an angle whose measure is 180 degrees.  \nreflex angle: An angle whose measure is more than 180 degrees but less than 360 degrees. The following is a reflex angle.  \nadjacent angles: Angles with a common vertex and one common side. In the figure below, ∠1 and ∠2 are adjacent angles.  \ncomplementary angles: Two angles whose measures add to 90 degrees ∠1 and ∠2 are complementary angles because together they form a right angle.  \nHowever, one thing that you should note is that, eventhough in the figure given here, the two angles are shown as adjacent, they need not be so to be called complementary. As long as two angles add up to 90 degrees, they would be called complementary (even if they are not adjacent to each other) .  \nsupplementary angles: Two angles whose measures add up to 180 degrees. The following angles ∠1 and ∠2 are supplementary angles. However, supplementary angles do  \nnot need to be adjacent to be called supplementary (quite like complementary angles) . The only condition for two angles to be called supplementary is if they are adding up to 180 degrees.  \nVertical angles: Angles that have a common vertex and whose sides are formed by the same lines. The following(∠1 and ∠2) are vertical angles.  \n1 2  \nangles formed when two parallel lines, are crossed by a transversal: When two parallel lines are crossed by a third line, (transversal), 8 angles are formed. Take a look at the following figure:  \n1 2  \n7 6  \nAngles 3,4,5,8 are interior angles.  \nAngles 1,2,6,7 are exterior angles.  \nalternate interior ","cbCaiqgJXrCkA0BR","https://ap.wps.com/l/cbCaiqgJXrCkA0BR","pdf",1474521,31,"English","# Part I: Geometry\n## Basic conversions\n## Types of angles\n## Angle relationships with parallel lines\n## Angle bisector and angle sums","[{\"question\":\"How is the geometry and mensuration theory organized in this chapter?\",\"answer\":\"The theory is divided into two parts: Part I covers geometry and mensuration of two-dimensional figures, and Part II covers mensuration of three-dimensional figures.\"},{\"question\":\"What are the basic unit conversions included in the chapter?\",\"answer\":\"The chapter provides conversions such as meters to centimeters and millimeters, kilometers to meters and miles, inches to centimeters, and weight/area/litre conversions for quick calculation.\"},{\"question\":\"What key angle types and relationships are taught?\",\"answer\":\"It defines acute, right, obtuse, straight, and reflex angles, then covers adjacent, complementary, supplementary, vertical angles, and angle formations from parallel lines cut by a transversal.\"}]","Geometry and Mensuration - 200 Formulas and Basic Questions | PDF",1790066812,78]