document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1050269>Question 1050269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A goat is tied outside the fence of a 5-m diameter circular garden using a 3-m rope. One end of the rope is tied to the collar around the neck of the goat and the other s attached to the fence at the point which is at the level as the goat's collar (the goat can move anywhere within 3 meters from the outside of the circular fence). Find the area by which the goat can move around by integration. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #666310 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52788)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=666310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A goat is tied outside the fence of a 5-m diameter circular garden using a 3-m rope. One end of the rope is tied to the collar <BR>\n" );
document.write( "around the neck of the goat and the other s attached to the fence at the point which is at the level as the goat's collar <BR>\n" );
document.write( "(the goat can move anywhere within 3 meters from the outside of the circular fence). <BR>\n" );
document.write( "Find the area by which the goat can move around by integration.<BR>\n" );
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document.write( "Once you got the intersection points for two circles (in the solution of the other tutor), <BR>\n" );
document.write( "the remaining part is to subtract the areas of two segments of the circle from the area of the larger circle.\r<BR>\n" );
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document.write( "You do not need to calculate integrals.\r<BR>\n" );
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document.write( "You need to know the formula for the area of a segment of a circle.\r<BR>\n" );
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document.write( "See the lessons \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Surface-area/Area-of-a-segment-of-the-circle.lesson>Area of a segment of the circle</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/geometry/Solved-problems-on-area-of-a-circle.lesson>Solved problems on area of a circle</A>, \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/geometry/Solved-problems-on-area-of-a-segment-of-the-circle.lesson>Solved problems on area of a segment of the circle</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/geometry/Solved-problems-on-area-of-aCircle-aSector-and-aSegment-of-the-circle.lesson>Solved problems on area of a circle, a sector and a segment of the circle</A> \r<BR>\n" );
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document.write( "in this site related to this topic.\r<BR>\n" );
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document.write( "You have this free of charge online textbook on Geometry\r<BR>\n" );
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document.write( "<A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson>GEOMETRY - YOUR ONLINE TEXTBOOK</A>\r<BR>\n" );
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document.write( "in this side. \r<BR>\n" );
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document.write( "The referred lessons are the part of this online textbook under the topic \"<U>Area of a circle, of a sector and of a segment of a circle</U>\".\r<BR>\n" );
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document.write( " </SPAN>\n" );
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