document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1046085>Question 1046085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A builder intends placing 7 equally spaced homes on a semicircular plot as shown in the accompanying figure. If the circle has a diameter of 400 feet, what is the distance between any two adjacent homes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #661567 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=661567\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Central angle is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2F7=51.42857=%2851%263%2F7%29degrees ALIGN=MIDDLE  ALT=\"360%2F7=51.42857=%2851%263%2F7%29degrees\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "radius of the circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200feet ALIGN=MIDDLE  ALT=\"200feet\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Triangle formed is isosceles, and you could use Law Of Cosines to find the distance between any two nearest houses around the circle.  You could also split the triangle into two right-triangles sharing a radius as the longest common leg.\r<BR>\n" );
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document.write( "If choosing Law Of Cosines:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%5E2%2B200%5E2-2%2A200%2A200%2Acos%2851%263%2F7%29=d%5E2 ALIGN=MIDDLE  ALT=\"200%5E2%2B200%5E2-2%2A200%2A200%2Acos%2851%263%2F7%29=d%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, simplify and solve for d.\r<BR>\n" );
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document.write( "MISTAKE:  I answered the wrong problem for you.  Your description said, \"semicircle\"; and by mistake, I solved for \"circle\".  Actual central angle will be  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%2F7 ALIGN=MIDDLE  ALT=\"180%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees. </SPAN>\n" );
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