document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=553370>Question 553370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A circle and a semicircle have the same area. If the circle has radius 1, what is the radius of the semicircle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #360812 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=360812\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Area of a circle:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=+pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"A=+pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If r=1, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=pi%2A1%5E2=pi ALIGN=MIDDLE  ALT=\"A=pi%2A1%5E2=pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Area of a semicircle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28pi%2Ar%5E2%29%2F2 ALIGN=MIDDLE  ALT=\"A=%28pi%2Ar%5E2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the area of the semicircle is the same as the area of the circle, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=pi ALIGN=MIDDLE  ALT=\"A=pi\"   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=pi+=+%28pi%2Ar%5E2%29%2F2 ALIGN=MIDDLE  ALT=\"pi+=+%28pi%2Ar%5E2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply both sides by 2 to clear the fraction:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi=+pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"2pi=+pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by pi:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=+r%5E2 ALIGN=MIDDLE  ALT=\"2=+r%5E2\"   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=r%5E2=2 ALIGN=MIDDLE  ALT=\"r%5E2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=sqrt%282%29 ALIGN=MIDDLE  ALT=\"r=sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=-sqrt%282%29 ALIGN=MIDDLE  ALT=\"r=-sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Reject the negative answer since a radius cannot be negative.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=sqrt%282%29 ALIGN=MIDDLE  ALT=\"r=sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Final Answer!!\r<BR>\n" );
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document.write( "Happy New Year!! My Email address is rapaljer@seminolestate.edu if you need to contact me!! \r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole State College of Florida<BR>\n" );
document.write( "Altamonte Springs Campus \r<BR>\n" );
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