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80 lines
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HTML
80 lines
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HTML
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<div class="puzLinks"><a class="puzLink" href="measuring-puzzles-index.html">Measuring Puzzles</a><a class="puzLink" href="starter-puzzles-index.html">Starter Puzzles</a><a class="puzLink" href="../games/puzzle-games.html">Puzzle Games</a><a class="puzLink" href="logic-puzzles-index.html">Logic Puzzles</a><a class="puzLink" href="jigsaw-puzzles-index.html">Jigsaw Puzzles</a><a class="puzLink" href="number-puzzles-index.html">Number Puzzles</a><a class="puzLink" href="card-puzzles-index.html">Card Puzzles</a><a class="puzLink" href="einstein-puzzles-index.html">Einstein Puzzles</a><a class="puzLink" href="sam-loyd-puzzles-index.html">Sam Loyd Puzzles</a><a class="puzLink" href="algebra-puzzles-index.html">Algebra Puzzles</a></div> <div id="extra"></div>
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<h1 class="puzTitle">Circling The Square Puzzle - Solution</h1><div class="puzPuzzle"><h2>The Puzzle:</h2><div class="puzText"><div class="puzThumb"><a href="shape-puzzles-index.html"><img src="images/blank.svg" alt="Circling The Square" style="border-style: none" /></a></div>In the diagram below, each circle is just big enough to touch all four sides of the square. The area of the square is therefore just a bit more than the area of one of the circles.<br />
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<img src="images/b-circles.gif" /><br />
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I want to know how many of the circles you need to cover the whole square. Is 2 enough? Or do you need 3? Or 4? Or more? <br />
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I have put 5 circles for you to play with (print and then cut them out), but what is the least number you need?</div></div><div class="puzSep"></div><div class="puzSoln"><h2>Our Solution:</h3><div class="puzSolnText">The actual answer is that you need FOUR circles to cover the square completely.<br />
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<img src="images/b-circlesa.gif" /><br />
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But because it is so difficult to cut out the circles accurately enough to see the tiny gaps that appear, you can be happy if you answered three circles. But four is correct, and you can actually use a program like "GeoGebra" to solve it.<br />
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</div></div><div class="puzAuthor">Puzzle Author: Stephen Froggatt<br /><br /></div><div class="puzSolnFtr">See this puzzle <a href="circling-the-square.html">without solution</a><br />Discuss this puzzle at the <a href="http://www.mathisfunforum.com/index.php">Math is Fun Forum</a></div><div class="related"><a href="shape-puzzles-index.html">Shape Puzzles</a><a href="index.html">Puzzles Index</a></div><!-- #EndEditable --></div>
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