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204 lines
7.4 KiB
HTML
204 lines
7.4 KiB
HTML
<!DOCTYPE html>
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<html lang="en"><!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/geometry/square.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:31:37 GMT -->
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<head>
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<meta http-equiv="content-type" content="text/html; charset=UTF-8">
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<!-- #BeginEditable "doctitle" -->
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<title>Square (Geometry)</title>
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<meta name="description" content="Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.">
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<!-- #EndEditable -->
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<meta name="keywords" content="math, maths, mathematics, school, homework, education">
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<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes">
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<meta name="HandheldFriendly" content="true">
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<meta name="referrer" content="always">
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<link rel="preload" href="../images/style/font-champ-bold.ttf" as="font" type="font/ttf" crossorigin="">
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<link rel="preload" href="../style4.css" as="style">
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<link rel="preload" href="../main4.js" as="script">
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<link rel="stylesheet" href="../style4.css">
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<script src="../main4.js" defer="defer"></script>
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<script async="" src="https://www.googletagmanager.com/gtag/js?id=UA-29771508-1"></script>
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<script>
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function gtag(){dataLayer.push(arguments);}
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gtag('js', new Date());
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gtag('config', 'UA-29771508-1');
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</script>
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</head>
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<body id="bodybg">
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<div id="stt"></div>
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<div id="adTop"></div>
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<header>
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<div id="hdr"></div>
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<div id="tran"></div>
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<div id="adHide"></div>
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<div id="cookOK"></div>
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</header>
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<div class="mid">
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<nav>
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<div id="menuWide" class="menu"></div>
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<div id="logo"><a href="../index.html"><img src="../images/style/logo.svg" alt="Math is Fun"></a></div>
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<div id="search" role="search"></div>
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<div id="linkto"></div>
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<div id="menuSlim" class="menu"></div>
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<div id="menuTiny" class="menu"></div>
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</nav>
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<div id="extra"></div>
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Square (Geometry)</h1>
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<p class="center"><i>(Jump to <a href="#Area">Area of a Square</a> or <a href="#Perimeter">Perimeter of a Square</a>)
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</i></p>
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<p class="center larger">A Square is a flat shape with 4 equal sides and every angle is a right angle (90°)</p>
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<p class="center"><img src="images/square-angles.svg" alt="Square" height="143" width="143"><i><br>
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the little squares in each corner mean "right angle"</i></p>
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<p class="center larger"></p>
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<table width="83%" cellpadding="5" border="0">
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<tbody>
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<tr>
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<td><img src="../images/style/right-arrow.gif" alt="right arrow" height="46" width="46"></td>
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<td>All sides are equal in length</td>
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</tr>
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<tr>
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<td><img src="../images/style/right-arrow.gif" alt="right arrow" height="46" width="46"></td>
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<td>Each internal angle is 90°</td>
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</tr>
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<tr>
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<td><img src="../images/style/right-arrow.gif" alt="right arrow" height="46" width="46"></td>
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<td>Opposite sides are <a href="parallel-lines.html">parallel</a> (so it is a <a href="parallelogram.html">Parallelogram</a>).</td>
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</tr>
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</tbody></table>
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<p>Play with a square:</p>
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<div class="script" style="height: 330px;">
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images/geom-quad.js?mode=square
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</div>
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<p>A square also fits the definition of a <a href="rectangle.html">rectangle</a> (all angles are 90°), a <a href="rhombus.html">rhombus</a> (all sides are equal length), a <a href="parallelogram.html">parallelogram</a> (opposite sides parallel and equal in length) and a <a href="polygons.html">regular polygon</a>(all angles equal and all sides equal). What a hero!</p>
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<h2><a name="Area"></a>Area
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of a Square</h2>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td style="text-align:center;"><img src="images/square-area.svg" alt="square" height="" width=""></td>
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<td> </td>
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<td>
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<p>The Area is the <b>side length squared</b>:</p>
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<p class="center larger">Area = a<sup>2</sup> = a × a</p></td>
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</tr>
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</tbody></table>
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<div class="example">
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<h3>Example: A square has a side length of 6 m, what is its Area?</h3>
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<p>Area = 6 m × 6 m = <b>36 m<sup>2</sup></b></p>
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</div>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td style="text-align:center;"><img src="images/square-diag.svg" alt="square diagonal" height="" width=""></td>
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<td> </td>
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<td>The Area is also <b>half of the diagonal squared:</b>
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<p class="center larger">Area = <span class="intbl"><em>d<sup>2</sup></em><strong>2</strong></span></p></td>
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</tr>
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</tbody></table>
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<h2><a name="Perimeter"></a>Perimeter of a Square</h2>
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<p>The Perimeter is the distance around the edge.</p>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td><img src="images/square-perim.svg" alt="square perimeter" height="" width=""></td>
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<td> </td>
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<td>
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<p>The Perimeter is <b>4 times the side length:</b></p>
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<p class="center larger">Perimeter = 4a</p></td>
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</tr>
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</tbody></table>
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<div class="example">
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<h3>Example: A square has a side length of 12 cm, what is its Perimeter?</h3>
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<p>Perimeter = 4 × 12 cm = <b>48 cm</b></p>
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</div>
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<h2>Diagonals of a Square</h2>
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<p>A square has two diagonals, they are equal in length and intersect in the middle.</p>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td><img src="images/square-diag-a.svg" alt="square diagonal" height="" width=""></td>
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<td> </td>
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<td>
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<p>The Diagonal is the <b>side length times the square root of 2</b>:</p>
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<p class="center larger">Diagonal "d" = a × √2</p></td>
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</tr>
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</tbody></table>
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<div class="example">
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<h3>Example: A square has a side length of 5 m, what is the length of a diagonal?</h3>
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<p style="float:left; margin: 5px;"><img src="images/square-diag-ex.svg" alt="square diagonal example" height="" width=""></p>
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<div class="tbl">
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<div class="row"><span class="left">Diagonal Length =</span><span class="right"> a × √2 </span></div>
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<div class="row"><span class="left">=</span><span class="right"> 5 × 1.41421... </span></div>
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<div class="row"><span class="left">=</span><span class="right"> <b>7.071 m</b> (to 3 decimals)</span></div>
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</div>
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</div>
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<h2>Calculator</h2>
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<p>Enter the <b>side length, area, diagonal</b> or <b>perimeter</b> and the other values are calculated live.</p>
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<iframe src="isquare-calc.html" scrolling="no" style="width:302px; height:352px; overflow:hidden; margin:auto; display:block; border:none;"></iframe>
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<p> </p>
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<div class="questions">9111, 9112, 9113, 9114, 9115, 9116, 9117, 9118, 9119, 9120</div>
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<div class="related">
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<a href="square-calc.html">Square Calculator</a>
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<a href="../quadrilaterals.html">Quadrilaterals</a>
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<a href="index.html">Geometry Index</a>
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</div>
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<!-- #EndEditable -->
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</article>
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<div id="adend" class="centerfull noprint"></div>
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<footer id="footer" class="centerfull noprint"></footer>
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<div id="copyrt">Copyright © 2021 MathsIsFun.com</div>
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</div>
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</body><!-- #EndTemplate -->
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<!-- Mirrored from www.mathsisfun.com/geometry/square.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:31:40 GMT -->
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