document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=974341>Question 974341</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!  My sister is in great need of help with geometric proofs (and I really want to help):\r<BR>\n" );
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document.write( "Given:  Triangle WXY inscribed in Circle and XY is the diameter\r<BR>\n" );
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document.write( "Area of Circle/Area of Triangle WXY = 2 Pi\r<BR>\n" );
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document.write( "Find m (XY2)\r<BR>\n" );
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document.write( "It must be written under the Givens and the Proofs.\r<BR>\n" );
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document.write( "Please help :)  Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #596262 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=596262\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given, a triangle is inscribed in a circle.<BR>\n" );
document.write( "Given, the circle has a radius.<BR>\n" );
document.write( "Given, the area of the circle is pi*r^2.<BR>\n" );
document.write( "Given, a diameter of a circle splits the circle into two 180 degree arcs.<BR>\n" );
document.write( "Inscribed angles subtend twice the arc of the angle.<BR>\n" );
document.write( "The inscribed angle subtends 180 degrees. <BR>\n" );
document.write( "The altitude of this right triangle is perpendicular to the base (definition)  \r<BR>\n" );
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document.write( "Therefore, the inscribed angle is 90 degrees, and the triangle is a right triangle.<BR>\n" );
document.write( "The altitude of the right triangle is a perpendicular from the base.  Definition of altitude<BR>\n" );
document.write( "The altitude divides the diameter into two equal arcs.  Reason: perpendicular to a straight line makes two right angles<BR>\n" );
document.write( "The radius is the distance from the center to the angle, and the angle lies on the edge of the circle.<BR>\n" );
document.write( "The radius is the altitude. ;; The radius must be perpendicular to the diameter.\r<BR>\n" );
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document.write( "Therefore, the area of the triangle is (1/2)bh = (1/2) r*r ; definition of area of triangle; definition of radius.\r<BR>\n" );
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document.write( "The area of the circle divided by the area of the triangle is pi*r^2/(1/2)*r^2\r<BR>\n" );
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document.write( "The ratio is 2 pi.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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