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It includes triangle facts such as angle sum and area, the Pythagoras’ theorem for right triangles, and basic trigonometry relations using angles. It also summarizes circle measurements including parts of a circle, circumference, area, arc length, and sector area. For quadrilaterals it covers angle sums and key area/perimeter formulas for rectangles, parallelograms, and trapeziums.",{"@graph":69,"@context":122},[70,84,105],{"@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-quick-guide-4-2d-shapes-formulas-triangle-circle-and-quadrilateral-formula-sheet/635142/",{"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-quick-guide-4-2d-shapes-formulas-triangle-circle-and-quadrilateral-formula-sheet/635142.png","ImageObject",300,407,{"name":92,"@type":93},"Aditya","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What are the main triangle formulas included in the guide?","Question",{"text":112,"@type":113},"The guide states that triangle angles sum to 180° and that the area of a triangle is ½ × base × height (½bh). It also includes Pythagoras’ theorem for right triangles: a² + b² = c², plus basic trigonometry laws.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which circle formulas are provided?",{"text":117,"@type":113},"It includes circumference formulas (2πr or πd), the area of a circle (πr²), arc length (L = 2πr(θ/360)), and sector area (πr²(θ/360)), along with “parts of a circle.”",{"name":119,"@type":110,"acceptedAnswer":120},"What quadrilateral area and perimeter formulas does the guide list?",{"text":121,"@type":113},"It gives the quadrilateral angle sum as 360° and includes rectangle area and perimeter (area = b×h, perimeter = 2b + 2h), parallelogram area (b×h), and trapezium area as ½(b1 + b2)×h.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},635142,1792877493,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":81,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24},962085564549,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Name Date  \nGEOMETRY QUICK GUIDE 4: 2D SHAPES FORMULAS  \n| TRIANGLE FORMULAS |  |  |  | CIRCLE FORMULAS | QUADRILATERAL FORMULAS |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>a b\u003Cbr>c |  |  |  | | \u003Cbr>c\u003Cbr>a\u003Cbr>b\u003Cbr>d |  |  |\n| Angles in a triangle add up to 180° . So a + b + c = 180° |  |  |  | Parts of a circle | Angles in a quadrilateral add up to 360˚ . So a + b + c + d = 360˚ |  |  |\n| | \u003Cbr>h |  |  | | h | b\u003Cbr>\u003Cbr>\u003Cbr>b | h |\n| Area of a triangle\u003Cbr>= ½ x b x h or ½ bh |  |  |  | Circumference of a circle\u003Cbr>= 2пr or пd | Area of a rectangle = b x h Perimeter of a rectangle = 2b + 2h |  |  |\n| | \u003Cbr>b |  |  | \u003Cbr>r\u003Cbr>| \u003Cbr>b |  |  |\n| Pythagoras’ theorem\u003Cbr>In a right triangle a2 + b2 = c2 |  |  |  | Area of a circle\u003Cbr>= пr2 | Area of a parallelogram\u003Cbr>= b x h |  |  |\n| |  |  | o | \u003Cbr>r Ɵ\u003Cbr>r\u003Cbr>L | \u003Cbr>b1 |  |  |\n| a |  |  |  |  |  |  |  |\n| Basic trigonometry laws\u003Cbr>sin Ɵ = o/h cos Ɵ = a/h tan Ɵ = o/a |  |  |  | The length L of an arc = 2пr(Ɵ/360)\u003Cbr>The area of a sector = пr2 (Ɵ/360) | Area of a trapezium\u003Cbr>= ½ (b1 + b2) x h |  |  |\n\nName Date  \nGEOMETRY QUICK GUIDE 4: 2D SHAPES FORMULAS  \n| TRIANGLE FORMULAS |  |  | CIRCLE FORMULAS | QUADRILATERAL FORMULAS |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>a\u003Cbr>\u003Cbr>c\u003Cbr>\u003Cbr> b |  |  | | \u003Cbr>|  |  |\n| Angles in a triangle add up to 180° . So a + b + c = 180° |  |  | Parts of a circle | Angles in a quadrilateral add up to 360˚ . So a + b + c + d = 360˚ |  |  |\n| | \u003Cbr>h |  | | h | b\u003Cbr>\u003Cbr>b | h |\n| Area of a triangle\u003Cbr>= ½ x b x h or ½ bh |  |  | Circumference of a circle\u003Cbr>= 2пr or пd | Area of a rectangle = b x h Perimeter of a rectangle = 2b + 2h |  |  |\n| | \u003Cbr>b |  | \u003Cbr>r\u003Cbr>| \u003Cbr>b |  |  |\n| Pythagoras’ theorem\u003Cbr>In a right triangle a2 + b2 = c2 |  |  | Area of a circle\u003Cbr>= пr2 | Area of a parallelogram\u003Cbr>= b x h |  |  |\n| |  | o | \u003Cbr>\u003Cbr>r\u003Cbr>Ɵ\u003Cbr>r\u003Cbr>L | \u003Cbr>\u003Cbr>b2 h\u003Cbr>\u003Cbr>b1 |  |  |\n| Basic trigonometry laws\u003Cbr>sin Ɵ = o/h cos Ɵ = a/h tan Ɵ = o/a |  |  | The length L of an arc = 2пr(Ɵ/360)\u003Cbr>The area of a sector = пr2 (Ɵ/360) | Area of a trapezium\u003Cbr>= ½ (b1 + b2) x h |  |  |","cbCaiiL9BAbS0NQj","https://ap.wps.com/l/cbCaiiL9BAbS0NQj","pdf",245372,"English","# Triangle formulas\n## Circle formulas\n## Quadrilateral formulas","[{\"question\":\"What are the main triangle formulas included in the guide?\",\"answer\":\"The guide states that triangle angles sum to 180° and that the area of a triangle is ½ × base × height (½bh). It also includes Pythagoras’ theorem for right triangles: a² + b² = c², plus basic trigonometry laws.\"},{\"question\":\"Which circle formulas are provided?\",\"answer\":\"It includes circumference formulas (2πr or πd), the area of a circle (πr²), arc length (L = 2πr(θ/360)), and sector area (πr²(θ/360)), along with “parts of a circle.”\"},{\"question\":\"What quadrilateral area and perimeter formulas does the guide list?\",\"answer\":\"It gives the quadrilateral angle sum as 360° and includes rectangle area and perimeter (area = b×h, perimeter = 2b + 2h), parallelogram area (b×h), and trapezium area as ½(b1 + b2)×h.\"}]","GEOMETRY QUICK GUIDE 4 - 2D SHAPES FORMULAS - Triangle, circle, and quadrilateral formula sheet | PDF",1792675379]