[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-523133-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-523133-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","trigonometry-and-area-geometry-worksheet","Trigonometry and Area - Geometry Worksheet","","This geometry worksheet focuses on calculating the area of various figures including triangles and regular polygons using trigonometric principles. The document provides a series of practice problems ranging from finding the area of triangles given two sides and an included angle to determining the area of regular polygons based on side lengths or perimeters. Each section includes clear instructions for rounding results to the nearest tenth, serving as an effective resource for students to master geometry concepts and improve their mathematical problem-solving skills through structured practice.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/trigonometry-and-area-geometry-worksheet/523133/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/trigonometry-and-area-geometry-worksheet/523133.png","ImageObject",300,407,{"name":42,"@type":43},"supergirl","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you calculate the area of a triangle when given two sides and an included angle?","Question",{"text":63,"@type":64},"The area can be calculated using the trigonometric formula: Area = 0.5 * side1 * side2 * sin(included angle).","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What is the process for finding the area of a regular polygon if the perimeter is known?",{"text":68,"@type":64},"The area of a regular polygon can be determined by using the perimeter and the apothem, or by dividing the polygon into congruent isosceles triangles and calculating their total area using trigonometry.",{"name":70,"@type":61,"acceptedAnswer":71},"To what degree of precision should the answers be rounded in this worksheet?",{"text":72,"@type":64},"All calculated answers should be rounded to the nearest tenth.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},523133,1791709957,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":55,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":123,"preview_page_count":4},962088121634,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Kuta Software-Infinite Geometry Name   \nTrigonometry and Area Date  Period   \nFind the area of each figure. Round your answer to the nearest tenth.  \n87°  \n6 cm  \n2)  \n5 in  \n3)  \n8 yd  \n4)  \n3 yd  \n98°  \n4 in  \n96°  \n7 in  \n5) A triangle with two sides that measure 6 yd and 6) A triangle with two sides that measure 6 m and  \n2 yd with an included angle of 10° . 8 m with an included angle of 137° .  \n7) A triangle with two sides that measure 5 cm and 8) A triangle with two sides that measure 8 ft and  \n8 cm with an included angle of 39° . 7 ft with an included angle of 30° .  \nFind the area of each regular polygon. Round your answer to the nearest tenth.  \n9)  \n10)  \nPerimeter = 108 mi  \n10 km  \n11)  \n12)  \nPerimeter = 144 cm  \n9 cm  \n13) A regular hexagon with a perimeter of 48 yd. 14) A regular pentagon 6 ft on each side.  \nKuta Software-Infinite Geometry Name   \nTrigonometry and Area Date  Period   \nFind the area of each figure. Round your answer to the nearest tenth.  \n1)  \n3)  \n8 cm  \n24 cm²  \n8 yd  \n11.9 yd²  \n2)  \n4)  \n5 in  \n9.6 in²  \n7 in  \n13.9 in²  \n5) A triangle with two sides that measure 6 yd and 6) A triangle with two sides that measure 6 m and  \n2 yd with an included angle of 10° . 8 m with an included angle of 137° .  \n1 yd² 16.4 m²  \n7) A triangle with two sides that measure 5 cm and 8) A triangle with two sides that measure 8 ft and  \n8 cm with an included angle of 39° . 7 ft with an included angle of 30° .  \n12.6 cm² 14 ft²  \nFind the area of each regular polygon. Round your answer to the nearest tenth.  \nPerimeter = 108 mi  \n890.2 mi²  \nPerimeter = 144 cm  \n1612.2 cm²  \n13) A regular hexagon with a perimeter of 48 yd.  \n166.3 yd²  \n10 km  \n43.3 km²  \n9 cm  \n210.4 cm²  \n14) A regular pentagon 6 ft on each side.  \n61.9 ft²  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiaQqwwwrtDML","https://ap.wps.com/l/cbCaiaQqwwwrtDML","pdf",31451,"English","# Calculating Triangle Areas\n## Triangles with Given Sides and Included Angles\n# Calculating Polygon Areas\n## Regular Polygons with Given Perimeters and Side Lengths","[{\"question\":\"How do you calculate the area of a triangle when given two sides and an included angle?\",\"answer\":\"The area can be calculated using the trigonometric formula: Area = 0.5 * side1 * side2 * sin(included angle).\"},{\"question\":\"What is the process for finding the area of a regular polygon if the perimeter is known?\",\"answer\":\"The area of a regular polygon can be determined by using the perimeter and the apothem, or by dividing the polygon into congruent isosceles triangles and calculating their total area using trigonometry.\"},{\"question\":\"To what degree of precision should the answers be rounded in this worksheet?\",\"answer\":\"All calculated answers should be rounded to the nearest tenth.\"}]","Trigonometry and Area - Geometry Worksheet | PDF",1791426532]