{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2017-07-16T17:52:21+00:00","modifiedTime":"2017-07-16T17:52:21+00:00","timestamp":"2022-09-14T18:19:23+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":"Armed Services","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33776"},"slug":"armed-services","categoryId":33776}],"title":"ASVAB Mathematics Knowledge Practice: Circles","strippedTitle":"asvab mathematics knowledge practice: circles","slug":"asvab-mathematics-knowledge-practice-circles","canonicalUrl":"","seo":{"metaDescription":"If you love circles—and who doesn't!—then you're in for a treat when you take the Mathematics Knowledge subtest on the ASVAB. Of course, enthusiasm isn't enough","noIndex":0,"noFollow":0},"content":"If you love circles—and who doesn't!—then you're in for a treat when you take the Mathematics Knowledge subtest on the ASVAB. Of course, enthusiasm isn't enough; you should also know the formulas for the circumference and area of a circle, and also how to switch a formula around to get the right answer.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li>Based on this diagram,\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119291480-un0342.gif\"><img class=\"alignnone size-full wp-image-242205\" src=\"https://www.dummies.com/wp-content/uploads/9781119291480-un0342.gif\" alt=\"asvab-radius\" width=\"350\" height=\"350\" /></a>\r\n\r\nfind the circle's radius.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_1901.gif\"><img class=\"alignnone size-full wp-image-242206\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_1901.gif\" alt=\"ASVAB_1901\" width=\"64\" height=\"108\" /></a></li>\r\n\t<li>Based on this diagram,\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119291480-un0347.gif\"><img class=\"alignnone size-full wp-image-242214\" src=\"https://www.dummies.com/wp-content/uploads/9781119291480-un0347.gif\" alt=\"asvab-circumference\" width=\"350\" height=\"350\" /></a>\r\n\r\nfind the circumference of the circle.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_1902.gif\"><img class=\"alignnone size-full wp-image-242207\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_1902.gif\" alt=\"ASVAB_1902\" width=\"65\" height=\"91\" /></a></li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li>The correct answer is <strong>Choice (B).</strong>\r\n\r\nThe formula for the area of a circle is\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_1903.gif\"><img class=\"alignnone size-full wp-image-242208\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_1903.gif\" alt=\"ASVAB_1903\" width=\"55\" height=\"23\" /></a>\r\n\r\nso create your own equation using the information you already have:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_1904.gif\"><img class=\"alignnone size-full wp-image-242209\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_1904.gif\" alt=\"ASVAB_1904\" width=\"73\" height=\"135\" /></a></li>\r\n\t<li>The correct answer is <strong>Choice (C).</strong>\r\n\r\nFirst, notice that the answer choices are in terms of pi. That means you won't have to multiply by 3.14.\r\n\r\nThe formula to find the circumference of a circle is\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_1905.gif\"><img class=\"alignnone size-full wp-image-242210\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_1905.gif\" alt=\"ASVAB_1905\" width=\"59\" height=\"19\" /></a>\r\n\r\nBecause you know the diameter is 210 feet, the radius is 105 feet. Use what you know in the formula:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_1906.gif\"><img class=\"alignnone size-full wp-image-242211\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_1906.gif\" alt=\"ASVAB_1906\" width=\"100\" height=\"101\" /></a>\r\n\r\nYou can solve the problem more quickly using an alternate formula for the circumference,\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_1907.gif\"><img class=\"alignnone size-full wp-image-242212\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_1907.gif\" alt=\"ASVAB_1907\" width=\"53\" height=\"19\" /></a>\r\n\r\nwhere <em>d</em> is the diameter. Mentally insert <em>d</em> = 210 in for <em>d</em>, and you get\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_1908.gif\"><img class=\"alignnone size-full wp-image-242213\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_1908.gif\" alt=\"ASVAB_1908\" width=\"69\" height=\"19\" /></a></li>\r\n</ol>","description":"If you love circles—and who doesn't!—then you're in for a treat when you take the Mathematics Knowledge subtest on the ASVAB. Of course, enthusiasm isn't enough; you should also know the formulas for the circumference and area of a circle, and also how to switch a formula around to get the right answer.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li>Based on this diagram,\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119291480-un0342.gif\"><img class=\"alignnone size-full wp-image-242205\" src=\"https://www.dummies.com/wp-content/uploads/9781119291480-un0342.gif\" alt=\"asvab-radius\" width=\"350\" height=\"350\" /></a>\r\n\r\nfind the circle's radius.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_1901.gif\"><img class=\"alignnone size-full wp-image-242206\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_1901.gif\" alt=\"ASVAB_1901\" width=\"64\" height=\"108\" /></a></li>\r\n\t<li>Based on this diagram,\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119291480-un0347.gif\"><img class=\"alignnone size-full wp-image-242214\" src=\"https://www.dummies.com/wp-content/uploads/9781119291480-un0347.gif\" alt=\"asvab-circumference\" width=\"350\" height=\"350\" /></a>\r\n\r\nfind the circumference of the circle.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_1902.gif\"><img class=\"alignnone size-full wp-image-242207\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_1902.gif\" alt=\"ASVAB_1902\" width=\"65\" height=\"91\" /></a></li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li>The correct answer is <strong>Choice (B).</strong>\r\n\r\nThe formula for the area of a circle is\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_1903.gif\"><img class=\"alignnone size-full wp-image-242208\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_1903.gif\" alt=\"ASVAB_1903\" width=\"55\" height=\"23\" /></a>\r\n\r\nso create your own equation using the information you already have:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_1904.gif\"><img class=\"alignnone size-full wp-image-242209\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_1904.gif\" alt=\"ASVAB_1904\" width=\"73\" height=\"135\" /></a></li>\r\n\t<li>The correct answer is <strong>Choice (C).</strong>\r\n\r\nFirst, notice that the answer choices are in terms of pi. That means you won't have to multiply by 3.14.\r\n\r\nThe formula to find the circumference of a circle is\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_1905.gif\"><img class=\"alignnone size-full wp-image-242210\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_1905.gif\" alt=\"ASVAB_1905\" width=\"59\" height=\"19\" /></a>\r\n\r\nBecause you know the diameter is 210 feet, the radius is 105 feet. Use what you know in the formula:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_1906.gif\"><img class=\"alignnone size-full wp-image-242211\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_1906.gif\" alt=\"ASVAB_1906\" width=\"100\" height=\"101\" /></a>\r\n\r\nYou can solve the problem more quickly using an alternate formula for the circumference,\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_1907.gif\"><img class=\"alignnone size-full wp-image-242212\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_1907.gif\" alt=\"ASVAB_1907\" width=\"53\" height=\"19\" /></a>\r\n\r\nwhere <em>d</em> is the diameter. Mentally insert <em>d</em> = 210 in for <em>d</em>, and you get\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_1908.gif\"><img class=\"alignnone size-full wp-image-242213\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_1908.gif\" alt=\"ASVAB_1908\" width=\"69\" height=\"19\" /></a></li>\r\n</ol>","blurb":"","authors":[{"authorId":8947,"name":"The Experts at Dummies","slug":"the-experts-at-dummies","description":"The Experts at Dummies are smart, friendly people who make learning easy by taking a not-so-serious approach to serious stuff.","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8947"}}],"primaryCategoryTaxonomy":{"categoryId":33776,"title":"Armed 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AFQT","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p><b data-author-id=\"11018\">Angie Papple Johnston</b> joined the U.S. Army in 2006 as a Chemical, Biological, Radiological, and Nuclear specialist, ready to tackle chemical weapons in a Level- A HAZMAT suit. She's currently the CBRN noncommissioned officer-in-charge of an aviation battalion in Washington, D.C. </p>","authors":[{"authorId":11018,"name":"Angie Papple Johnston","slug":"angie-papple-johnston","description":" <p><b>Angie Papple Johnston</b> joined the U.S. Army in 2006 as a CBRN specialist. Currently, she's the CBRN noncommissioned officer-in-charge of an aviation battalion in Washington, D.C. <b>Rod Powers</b> served more than 20 years in the U.S. Air Force and retired as a first sergeant. 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ASVAB Mathematics Knowledge Practice: Circles

By: The Experts at Dummies and

Updated: 07-16-2017

From The Book: ASVAB AFQT

ASVAB AFQT

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If you love circles—and who doesn't!—then you're in for a treat when you take the Mathematics Knowledge subtest on the ASVAB. Of course, enthusiasm isn't enough; you should also know the formulas for the circumference and area of a circle, and also how to switch a formula around to get the right answer.

Practice questions

Based on this diagram,
find the circle's radius.
Based on this diagram,
find the circumference of the circle.

Answers and explanations

The correct answer is Choice (B).
The formula for the area of a circle is
so create your own equation using the information you already have:
The correct answer is Choice (C).
First, notice that the answer choices are in terms of pi. That means you won't have to multiply by 3.14.
The formula to find the circumference of a circle is
Because you know the diameter is 210 feet, the radius is 105 feet. Use what you know in the formula:
You can solve the problem more quickly using an alternate formula for the circumference,
where d is the diameter. Mentally insert d = 210 in for d, and you get

About This Article

This article is from the book:

ASVAB AFQT ,

About the book author:

Angie Papple Johnston joined the U.S. Army in 2006 as a Chemical, Biological, Radiological, and Nuclear specialist, ready to tackle chemical weapons in a Level- A HAZMAT suit. She's currently the CBRN noncommissioned officer-in-charge of an aviation battalion in Washington, D.C.

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