{"id":138,"date":"2020-11-17T14:19:09","date_gmt":"2020-11-17T19:19:09","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/chapter\/divide-a-circle-into-12-equal-parts\/"},"modified":"2023-03-17T13:01:25","modified_gmt":"2023-03-17T17:01:25","slug":"divide-a-circle-into-12-equal-parts","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/chapter\/divide-a-circle-into-12-equal-parts\/","title":{"raw":"Divide a Circle Into 12 Equal Parts","rendered":"Divide a Circle Into 12 Equal Parts"},"content":{"raw":"<ol>\n \t<li>Draw an x-y axis.\n<img class=\"wp-image-135 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2021\/07\/Step-1_1-9.gif\" alt=\"\" width=\"1000\" height=\"500\"><\/li>\n \t<li>Draw a circle.<strong>\n<img class=\"wp-image-136 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-2_1-8.gif\" alt=\"\" width=\"1000\" height=\"500\"><\/strong><\/li>\n \t<li>From each <strong>[pb_glossary id=\"519\"]quadrant[\/pb_glossary]<\/strong> point, swing the <strong>[pb_glossary id=\"515\"]radius[\/pb_glossary]<\/strong> in both directions to cross the <strong>[pb_glossary id=\"512\"]circumference[\/pb_glossary]<\/strong>. (Remember, when we swing the <strong>[pb_glossary id=\"515\"]radius[\/pb_glossary]<\/strong> along an <strong>[pb_glossary id=\"511\"]arc[\/pb_glossary]<\/strong> of equal distance, we create 60\u00b0.) As we do it both ways, we end up with 30\u00b0-60\u00b0-90\u00b0 all the way around the circumference.\n<img class=\"wp-image-137 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-3_4-1.gif\" alt=\"\" width=\"1000\" height=\"500\"><\/li>\n<\/ol>\n<div class=\"textbox shaded\"><strong>This is one of the most common techniques we use. Know it well!!!<\/strong><\/div>","rendered":"<ol>\n<li>Draw an x-y axis.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-135 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2021\/07\/Step-1_1-9.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/li>\n<li>Draw a circle.<strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-136 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-2_1-8.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/strong><\/li>\n<li>From each <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_138_519\">quadrant<\/a><\/strong> point, swing the <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_138_515\">radius<\/a><\/strong> in both directions to cross the <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_138_512\">circumference<\/a><\/strong>. (Remember, when we swing the <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_138_515\">radius<\/a><\/strong> along an <strong><a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_138_511\">arc<\/a><\/strong> of equal distance, we create 60\u00b0.) As we do it both ways, we end up with 30\u00b0-60\u00b0-90\u00b0 all the way around the circumference.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-137 size-full aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/geoconst\/wp-content\/uploads\/sites\/1907\/2023\/03\/Step-3_4-1.gif\" alt=\"\" width=\"1000\" height=\"500\" \/><\/li>\n<\/ol>\n<div class=\"textbox shaded\"><strong>This is one of the most common techniques we use. Know it well!!!<\/strong><\/div>\n<div class=\"glossary\"><span class=\"screen-reader-text\" id=\"definition\">definition<\/span><template id=\"term_138_519\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_138_519\"><div tabindex=\"-1\"><p>a sector which equals one quarter of the area of a circle<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_138_515\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_138_515\"><div tabindex=\"-1\"><p>the distance from center to any point of the circumference, half the diameter<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_138_512\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_138_512\"><div tabindex=\"-1\"><p>the distance around a circle, perimeter of a circle<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><template id=\"term_138_511\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_138_511\"><div tabindex=\"-1\"><p>a portion of a circumference<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><\/div>","protected":false},"author":1078,"menu_order":9,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-138","chapter","type-chapter","status-publish","hentry"],"part":18,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/pressbooks\/v2\/chapters\/138","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/wp\/v2\/users\/1078"}],"version-history":[{"count":2,"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/pressbooks\/v2\/chapters\/138\/revisions"}],"predecessor-version":[{"id":559,"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/pressbooks\/v2\/chapters\/138\/revisions\/559"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/pressbooks\/v2\/parts\/18"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/pressbooks\/v2\/chapters\/138\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/wp\/v2\/media?parent=138"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/pressbooks\/v2\/chapter-type?post=138"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/wp\/v2\/contributor?post=138"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/pressbookbccampussmlt1\/wp-json\/wp\/v2\/license?post=138"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}