Degrees (Angles)

<!doctype html> <html lang="en"> <head> <meta charset="UTF-8">  <title>Degrees (Angles)</title> <script src="images/angles.js" type="text/javascript"></script> <link rel="stylesheet" type="text/css" href="../stylejs.css"/> <meta name="description" content="There are 360 degrees in one Full Rotation (one complete circle around)"/>  <meta name="keywords" content="math, maths, mathematics, school, homework, education"> <meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes"> <meta name="HandheldFriendly" content="true"> <meta name="referrer" content="always"> <link rel="preload" href="../images/style/font-champ-bold.ttf" as="font" type="font/ttf" crossorigin> <link rel="preload" href="../style4.css" as="style"> <link rel="preload" href="../main4.js" as="script"> <link rel="stylesheet" href="../style4.css"> <script src="../main4.js" defer></script>  <script async src="https://www.googletagmanager.com/gtag/js?id=UA-29771508-1"></script> <script> window.dataLayer = window.dataLayer || []; function gtag(){dataLayer.push(arguments);} gtag('js', new Date()); gtag('config', 'UA-29771508-1'); </script> </head> <body id="bodybg"> <div id="stt"></div> <div id="adTop"></div> <header> <div id="hdr"></div> <div id="tran"></div> <div id="adHide"></div> <div id="cookOK"></div> </header> <div class="mid"> <nav> <div id="menuWide" class="menu"></div> <div id="logo"><a href="https://www.mathsisfun.com/"><img src="../images/style/logo.svg" alt="Math is Fun"></a></div> <div id="search" role="search"></div> <div id="linkto"></div> <div id="menuSlim" class="menu"></div> <div id="menuTiny" class="menu"></div> </nav> <div id="extra"></div> <article id="content" role="main">  <h1 class="center">Degrees (Angles)</h1> <div style="float:left; margin: 0 10px 5px 0;"> <script>anglesMain();</script> </div> <p> </p> <h3>We can measure Angles in Degrees.</h3> <p>There are 360 degrees in one Full Rotation (one complete circle around).</p> <p>Angles can also be measured in <a href="radians.html">Radians</a>.</p> <div style="clear:both"></div> <p class="center"><i>(Note: "Degree" is also used for <a href="../temperature-conversion.html">Temperature</a>, but here we talk about <a href="../angles.html">Angles</a>)</i></p> <h2>The Degree Symbol  掳</h2> <p>We use a little circle ° following the number to mean degrees.</p> <p>For example <b>90°</b> means <b>90 degrees</b></p> <h2>One Degree</h2> <p class="center"><img src="images/degrees-1.svg" alt="1 Degree"><br> <b>This is how large 1 Degree is</b></p> <p style="float:left; margin: 0 10px 5px 0;"><img src="images/degrees-360.svg" alt="Full Circle Degrees"></p> <h2>The Full Circle</h2> <p>A <a href="full-rotation.html">Full Circle</a> is 360<b>°</b></p> <p>Half a circle is 180°<b><br> </b> (called a <a href="straight-angle.html">Straight Angle</a>)</p> <p>Quarter of a circle is 90°<br> (called a <a href="../rightangle.html">Right Angle</a>)</p> <div style="clear:both"></div> <div class="fun"> <p style="float:left; margin: 0 10px 5px 0;"><img src="../images/style/question.svg" alt="question" height="201" width="99"></p> <p><b>Why 360 degrees?</b> Maybe because old calendars (such as the Persian Calendar) used 360 days for a year - when they watched the stars they saw them revolve around the North Star one degree per day.</p> <p>Also 360 can be <a href="../numbers/factors-all-tool.html">divided exactly</a> by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120 and 180, which makes a lot of basic geometry easier.</p> </div> <h2>Measuring Degrees</h2> We often <a href="../angles.html">measure degrees</a> using a protractor: <p class="center"><img src="images/protractor.svg" alt="Protractor" height="264" width="456"><br> The normal protractor measures 0° to 180°</p> <table style="border: 0; margin:auto;"> <tr> <td><img src="images/full-cirle-protractor.jpg" alt="Full Circle Protractor" height="207" width="200"></td> <td><p>There are also full-circle protractors.</p> <p>But they are not commonly used because they are a bit big and don't do anything special.</p></td> </tr> </table> <p> </p> <div class="questions">1771, 1772, 1773, 1774, 1775, 3280, 3281, 3282, 3283, 8990</div> <div class="related"> <a href="../angles.html">Types of Angles</a> <a href="radians.html">Radians</a> <a href="plane.html">Plane</a> <a href="symbols.html">Symbols in Geometry</a> <a href="index.html">Geometry Index</a> </div>  </article> <div id="adend" class="centerfull noprint"></div> <footer id="footer" class="centerfull noprint"></footer> <div id="copyrt">Copyright © 2023 Rod Pierce</div> </div> </body>  </html>

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Degrees (Angles)