document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119669>Question 119669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q. The radius of circle is 14 cm. A chord of this circle subtends an angle of measure 120 at the centre. Find the area of the minor segment formed by this chord.(sqare root of 3=1.73)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87660 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=87660\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \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=r+=+14+cm+ ALIGN=MIDDLE  ALT=\"r+=+14+cm+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "chord of this circle subtends an angle of measure <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120 ALIGN=MIDDLE  ALT=\"120\"   DISABLED_style= \"max-width:90%; height:auto;\" > at the centre\r<BR>\n" );
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document.write( "Find the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area ALIGN=MIDDLE  ALT=\"area\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=minor ALIGN=MIDDLE  ALT=\"minor\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+segment ALIGN=MIDDLE  ALT=\"+segment\"   DISABLED_style= \"max-width:90%; height:auto;\" > formed by this chord\r<BR>\n" );
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document.write( "To find the area of a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=minor ALIGN=MIDDLE  ALT=\"minor\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+segment ALIGN=MIDDLE  ALT=\"+segment\"   DISABLED_style= \"max-width:90%; height:auto;\" >(slice of cake)  think of it as a sector minus a triangle with vertices at the centre of the circle and at the end points of the chord.\r<BR>\n" );
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document.write( "Let the angle of the triangle at the centre of the circle be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "degrees.  Then the area of the sector <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > is:\r<BR>\n" );
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document.write( "          <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A++=+pi+%2A+r%5E2+%2A+%28x%2F360%29 ALIGN=MIDDLE  ALT=\"A++=+pi+%2A+r%5E2+%2A+%28x%2F360%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=A++=+3.14+%2A+%2814cm%29%5E2+%2A+%28120%2F360%29 ALIGN=MIDDLE  ALT=\"A++=+3.14+%2A+%2814cm%29%5E2+%2A+%28120%2F360%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=A++=+3.14+%2A+196cm%5E2+%2A+.33 ALIGN=MIDDLE  ALT=\"A++=+3.14+%2A+196cm%5E2+%2A+.33\"   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=A++=+615.44cm%5E2+%2A+.33 ALIGN=MIDDLE  ALT=\"A++=+615.44cm%5E2+%2A+.33\"   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=A++=+203.0952cm%5E2+ ALIGN=MIDDLE  ALT=\"A++=+203.0952cm%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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