document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207162>Question 1207162</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the arch of this bridge is an arc of a circle. the arc measures 80 degrees and the bridge spans a 200 meters across a valley. what is the length of the bridge's arch? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844875 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=844875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The length of an arc depends on the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=radius ALIGN=MIDDLE  ALT=\"radius\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a circle and the central angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "We know that for the angle equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360 ALIGN=MIDDLE  ALT=\"360\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >), the arc length is equal to circumference. \r<BR>\n" );
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document.write( "Hence, as the proportion between angle and arc length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" > is constant, we can say that:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+%2F+theta+=+C+%2F+2pi ALIGN=MIDDLE  ALT=\"L+%2F+theta+=+C+%2F+2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....as circumference <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+2pi%2Ar ALIGN=MIDDLE  ALT=\"C+=+2pi%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L++=+theta%28%282r%2Api%29+%2F+2pi%29 ALIGN=MIDDLE  ALT=\"L++=+theta%28%282r%2Api%29+%2F+2pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L++=+theta%2Ar ALIGN=MIDDLE  ALT=\"L++=+theta%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=80 ALIGN=MIDDLE  ALT=\"theta=80\"   DISABLED_style= \"max-width:90%; height:auto;\" > =>convert to radians =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=1.3963 ALIGN=MIDDLE  ALT=\"theta=1.3963\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=100m ALIGN=MIDDLE  ALT=\"r=100m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L++=+1.3963%2A100m ALIGN=MIDDLE  ALT=\"L++=+1.3963%2A100m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L++=139.63m ALIGN=MIDDLE  ALT=\"L++=139.63m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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