{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2017-01-28T01:49:40+00:00","modifiedTime":"2017-01-28T01:49:40+00:00","timestamp":"2022-09-14T18:17:09+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"SAT","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33794"},"slug":"sat","categoryId":33794}],"title":"SAT Practice Questions: Circle Arcs and Sectors","strippedTitle":"sat practice questions: circle arcs and sectors","slug":"sat-practice-questions-circle-arcs-sectors","canonicalUrl":"","seo":{"metaDescription":"The SAT Math exam may ask you to deal with, not a whole circle, but only part of it. For example, you may be asked to find the length of an arc (which is part o","noIndex":0,"noFollow":0},"content":"The SAT Math exam may ask you to deal with, not a whole circle, but only part of it. For example, you may be asked to find the length of an arc (which is part of the circumference of a circle) or the area of a sector (which is part of the area of a circle).\r\n\r\nThe following practice questions ask you to find the area of a sector as a fraction of the circle, and the circumference of a circle based on the length of an arc.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\nIn the following figure, point <em>O</em> is the center of the circle.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0414.gif\"><img class=\"alignnone wp-image-232702 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0414.gif\" alt=\"sat1001_arcs\" width=\"264\" height=\"247\" /></a>\r\n<ol>\r\n\t<li><strong>What fraction of the circle is minor arc <em>AOB</em>?</strong>\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1001.gif\"><img class=\"alignnone size-full wp-image-232703\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1001.gif\" alt=\"SAT1001_eq1001\" width=\"47\" height=\"205\" /></a></li>\r\n\t<li><strong>If the length of minor arc <em>AOB</em> is</strong>\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1002.gif\"><img class=\"alignnone size-full wp-image-232704\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1002.gif\" alt=\"SAT1001_eq1002\" width=\"32\" height=\"20\" /></a>\r\nwhat is the circumference of the circle?\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1003.gif\"><img class=\"alignnone size-full wp-image-232705\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1003.gif\" alt=\"SAT1001_eq1003\" width=\"59\" height=\"139\" /></a></li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li><strong>The correct answer is Choice (C).</strong>\r\nThe entire circle is 360 degrees. Place the 30-degree angle over 360 degrees and reduce it to 1/12.</li>\r\n\t<li><strong>The correct answer is Choice (D).</strong>\r\nIf minor arc <em>AOB</em> is 1/12 of the circle\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1004.gif\"><img class=\"alignnone size-full wp-image-232706\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1004.gif\" alt=\"SAT1001_eq1004\" width=\"95\" height=\"49\" /></a>\r\nthen 1/12 of the circle is\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1005.gif\"><img class=\"alignnone size-medium wp-image-232707\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1005-270x46.gif\" alt=\"SAT1001_eq1005\" width=\"270\" height=\"46\" /></a></li>\r\n</ol>","description":"The SAT Math exam may ask you to deal with, not a whole circle, but only part of it. For example, you may be asked to find the length of an arc (which is part of the circumference of a circle) or the area of a sector (which is part of the area of a circle).\r\n\r\nThe following practice questions ask you to find the area of a sector as a fraction of the circle, and the circumference of a circle based on the length of an arc.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\nIn the following figure, point <em>O</em> is the center of the circle.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0414.gif\"><img class=\"alignnone wp-image-232702 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0414.gif\" alt=\"sat1001_arcs\" width=\"264\" height=\"247\" /></a>\r\n<ol>\r\n\t<li><strong>What fraction of the circle is minor arc <em>AOB</em>?</strong>\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1001.gif\"><img class=\"alignnone size-full wp-image-232703\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1001.gif\" alt=\"SAT1001_eq1001\" width=\"47\" height=\"205\" /></a></li>\r\n\t<li><strong>If the length of minor arc <em>AOB</em> is</strong>\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1002.gif\"><img class=\"alignnone size-full wp-image-232704\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1002.gif\" alt=\"SAT1001_eq1002\" width=\"32\" height=\"20\" /></a>\r\nwhat is the circumference of the circle?\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1003.gif\"><img class=\"alignnone size-full wp-image-232705\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1003.gif\" alt=\"SAT1001_eq1003\" width=\"59\" height=\"139\" /></a></li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li><strong>The correct answer is Choice (C).</strong>\r\nThe entire circle is 360 degrees. Place the 30-degree angle over 360 degrees and reduce it to 1/12.</li>\r\n\t<li><strong>The correct answer is Choice (D).</strong>\r\nIf minor arc <em>AOB</em> is 1/12 of the circle\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1004.gif\"><img class=\"alignnone size-full wp-image-232706\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1004.gif\" alt=\"SAT1001_eq1004\" width=\"95\" height=\"49\" /></a>\r\nthen 1/12 of the circle is\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_1005.gif\"><img class=\"alignnone size-medium wp-image-232707\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_1005-270x46.gif\" alt=\"SAT1001_eq1005\" width=\"270\" height=\"46\" /></a></li>\r\n</ol>","blurb":"","authors":[{"authorId":8978,"name":"Ron Woldoff","slug":"ron-woldoff","description":" <p><b>Ron Woldoff is founder of National Test Prep, where he helps students succeed on the GMAT, GRE, SAT, ACT, and PSAT. He’s the author of numerous Dummies test prep titles, including <i>GRE 2022 For Dummies</i> and <i>SAT: 1,001 Practice Questions For Dummies.</i></p> ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8978"}}],"primaryCategoryTaxonomy":{"categoryId":33794,"title":"SAT","slug":"sat","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33794"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[{"label":"Practice questions","target":"#tab1"},{"label":"Answers and explanations","target":"#tab2"}],"relatedArticles":{"fromBook":[{"articleId":232868,"title":"SAT Writing Practice Problems: Parallel Structure, Agreement, and Tense","slug":"sat-writing-practice-problems-parallel-structure-agreement-tense","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232868"}},{"articleId":232865,"title":"SAT Writing Practice Problems: Logic and Organization","slug":"sat-writing-practice-problems-logic-organization","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232865"}},{"articleId":232862,"title":"SAT Writing Practice Problems: Vocabulary in Context","slug":"sat-writing-practice-problems-vocabulary-context","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232862"}},{"articleId":232859,"title":"SAT Writing Practice Problems: Grammar and Punctuation","slug":"sat-writing-practice-problems-grammar-punctuation","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232859"}},{"articleId":232855,"title":"SAT Reading Practice Problems: Interpreting Visual Elements","slug":"sat-reading-practice-problems-interpreting-visual-elements","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232855"}}],"fromCategory":[{"articleId":293029,"title":"SAT Prep 2023 For Dummies Cheat Sheet","slug":"sat-prep-2023-for-dummies-cheat-sheet","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/293029"}},{"articleId":277844,"title":"10 Ways to Get the Most from the Practice SATs","slug":"10-ways-to-get-the-most-from-the-practice-sats","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/277844"}},{"articleId":277839,"title":"10 Mistakes You Won’t Make on the SAT","slug":"10-mistakes-you-wont-make-on-the-sat","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/277839"}},{"articleId":277836,"title":"Strategies for the SAT Reading Test","slug":"strategies-for-the-sat-reading-test","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/277836"}},{"articleId":277833,"title":"Simple Strategies for Taking the SAT Writing and Language Test","slug":"simple-strategies-for-taking-the-sat-writing-and-language-test","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/277833"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282560,"slug":"sat-1001-practice-questions-for-dummies","isbn":"9781119215844","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"amazon":{"default":"https://www.amazon.com/gp/product/1119215846/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1119215846/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1119215846-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1119215846/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1119215846/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/sat-1001-practice-questions-for-dummies-cover-9781119215844-202x255.jpg","width":202,"height":255},"title":"SAT","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p>Ron Woldoff is the founder of National Test Prep, where he helps students prepare for the SAT, GMAT, and GRE. 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SAT Practice Questions: Circle Arcs and Sectors

By: Ron Woldoff and

Updated: 01-28-2017

From The Book: SAT

SAT

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The SAT Math exam may ask you to deal with, not a whole circle, but only part of it. For example, you may be asked to find the length of an arc (which is part of the circumference of a circle) or the area of a sector (which is part of the area of a circle).

The following practice questions ask you to find the area of a sector as a fraction of the circle, and the circumference of a circle based on the length of an arc.

Practice questions

In the following figure, point O is the center of the circle.

What fraction of the circle is minor arc AOB?
If the length of minor arc AOB is
what is the circumference of the circle?

Answers and explanations

The correct answer is Choice (C). The entire circle is 360 degrees. Place the 30-degree angle over 360 degrees and reduce it to 1/12.
The correct answer is Choice (D). If minor arc AOB is 1/12 of the circle
then 1/12 of the circle is

About This Article

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SAT ,

About the book author:

Ron Woldoff is the founder of National Test Prep, where he helps students prepare for the SAT, GMAT, and GRE. He is the author of several books, including GRE For Dummies and 1,001 GRE Practice Questions For Dummies.

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