document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=739871>Question 739871</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the length of an arc of a circle is 12 cm,the corresponding sector area is <BR>\n" );
document.write( "108 cm^2.<BR>\n" );
document.write( "Find the radius of the circle and the angle subtended at the centre of the circle by the arc. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #451367 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=451367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What if the area were extended to the whole circle, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the arc were extended to the whole circumference, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2Ar ALIGN=MIDDLE  ALT=\"2%2Api%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" >?  The comparison of area to arc is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2Ar%5E2%29%2F%282%2Api%2Ar%29=r%2F2 ALIGN=MIDDLE  ALT=\"%28pi%2Ar%5E2%29%2F%282%2Api%2Ar%29=r%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  That should be the same for the area of a sector and its arc.\r<BR>\n" );
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document.write( "Using that ratio, we can make a proportion,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2F2=108%2F12 ALIGN=MIDDLE  ALT=\"r%2F2=108%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and we can easily find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=2%2A108%2F12%29 ALIGN=MIDDLE  ALT=\"highlight%28r=2%2A108%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, simplify.....! </SPAN>\n" );
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