{"id":10774,"date":"2017-06-05T16:15:24","date_gmt":"2017-06-05T16:15:24","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=10774"},"modified":"2020-01-09T02:04:00","modified_gmt":"2020-01-09T02:04:00","slug":"summary-solving-problems-with-circles-and-irregular-figures","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/chapter\/summary-solving-problems-with-circles-and-irregular-figures\/","title":{"raw":"Summary: Solving Problems With Circles and Irregular Figures","rendered":"Summary: Solving Problems With Circles and Irregular Figures"},"content":{"raw":"<h1 style=\"text-align: center;\"><span style=\"color: #ff0000; background-color: #999999;\">End of textbook section. After reviewing the content below,\r\nClose this tab and proceed to the assignment\u00a0<\/span><\/h1>\r\n<h2 data-type=\"title\">Key Concepts<\/h2>\r\n<ul id=\"eip-557\">\r\n \t<li><strong>Problem Solving Strategy for Geometry Applications<\/strong>\r\n<ol id=\"eip-id1167297880352\" class=\"stepwise\" data-number-style=\"arabic\">\r\n \t<li>Read the problem and make sure you understand all the words and ideas. Draw the figure and label it with the given information.<\/li>\r\n \t<li>Identify what you are looking for.<\/li>\r\n \t<li>Name what you are looking for. Choose a variable to represent that quantity.<\/li>\r\n \t<li>Translate into an equation by writing the appropriate formula or model for the situation. Substitute in the given information.<\/li>\r\n \t<li>Solve the equation using good algebra techniques.<\/li>\r\n \t<li>Check the answer in the problem and make sure it makes sense.<\/li>\r\n \t<li>Answer the question with a complete sentence.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li><strong>Properties of Circles<\/strong><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24224057\/CNX_BMath_Figure_09_05_227_img.png\" alt=\".\" data-media-type=\"image\/png\" \/>\r\n<ul id=\"eip-id1168176888451\">\r\n \t<li>[latex]d=2r[\/latex]<\/li>\r\n \t<li><strong>Circumference:<\/strong> [latex]C=2\\pi r[\/latex] or [latex]C=\\pi d[\/latex]<\/li>\r\n \t<li><strong>Area:<\/strong> [latex]A=\\pi {r}^{2}[\/latex]<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<h2 data-type=\"glossary-title\">Glossary<\/h2>\r\n<dl id=\"fs-id1713352\" class=\"definition\">\r\n \t<dt>irregular figure<\/dt>\r\n \t<dd id=\"fs-id1545492\">An irregular figure is a figure that is not a standard geometric shape. Its area cannot be calculated using any of the standard area formulas.<\/dd>\r\n<\/dl>","rendered":"<h1 style=\"text-align: center;\"><span style=\"color: #ff0000; background-color: #999999;\">End of textbook section. After reviewing the content below,<br \/>\nClose this tab and proceed to the assignment\u00a0<\/span><\/h1>\n<h2 data-type=\"title\">Key Concepts<\/h2>\n<ul id=\"eip-557\">\n<li><strong>Problem Solving Strategy for Geometry Applications<\/strong>\n<ol id=\"eip-id1167297880352\" class=\"stepwise\" data-number-style=\"arabic\">\n<li>Read the problem and make sure you understand all the words and ideas. Draw the figure and label it with the given information.<\/li>\n<li>Identify what you are looking for.<\/li>\n<li>Name what you are looking for. Choose a variable to represent that quantity.<\/li>\n<li>Translate into an equation by writing the appropriate formula or model for the situation. Substitute in the given information.<\/li>\n<li>Solve the equation using good algebra techniques.<\/li>\n<li>Check the answer in the problem and make sure it makes sense.<\/li>\n<li>Answer the question with a complete sentence.<\/li>\n<\/ol>\n<\/li>\n<li><strong>Properties of Circles<\/strong><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24224057\/CNX_BMath_Figure_09_05_227_img.png\" alt=\".\" data-media-type=\"image\/png\" \/>\n<ul id=\"eip-id1168176888451\">\n<li>[latex]d=2r[\/latex]<\/li>\n<li><strong>Circumference:<\/strong> [latex]C=2\\pi r[\/latex] or [latex]C=\\pi d[\/latex]<\/li>\n<li><strong>Area:<\/strong> [latex]A=\\pi {r}^{2}[\/latex]<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2 data-type=\"glossary-title\">Glossary<\/h2>\n<dl id=\"fs-id1713352\" class=\"definition\">\n<dt>irregular figure<\/dt>\n<dd id=\"fs-id1545492\">An irregular figure is a figure that is not a standard geometric shape. Its area cannot be calculated using any of the standard area formulas.<\/dd>\n<\/dl>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-10774\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17533,"menu_order":16,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"}]","CANDELA_OUTCOMES_GUID":"1173ff87-5933-4f28-9226-8901d19a4d7e","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-10774","chapter","type-chapter","status-publish","hentry"],"part":7831,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10774","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":6,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10774\/revisions"}],"predecessor-version":[{"id":16138,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10774\/revisions\/16138"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/parts\/7831"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10774\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/media?parent=10774"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=10774"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/contributor?post=10774"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/license?post=10774"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}