document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=420197>Question 420197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you calculate the shaded area inside the circle of perimeter 50 pi units? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #293680 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=293680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the formula for the circumference of a circle is equal to 2 * pi * r\r<BR>\n" );
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document.write( "pi is a constant that is equal to 3.141592654\r<BR>\n" );
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document.write( "r is the radius of the circle.\r<BR>\n" );
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document.write( "the circumference of the circle is the same as the perimeter of the circle.\r<BR>\n" );
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document.write( "use the equation to solve for r.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "2 * pi * r = 50\r<BR>\n" );
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document.write( "divide both sides of the equation by 2 * pi to get:\r<BR>\n" );
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document.write( "r = 50 / (2 * pi)\r<BR>\n" );
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document.write( "this can be simplified to r = 50 / 6.283185307 which can further simplified to:\r<BR>\n" );
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document.write( "r = 7.957747155\r<BR>\n" );
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document.write( "the formula for the area of a circle is equal to pi * r^2.\r<BR>\n" );
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document.write( "that would be the shaded area inside the circle.\r<BR>\n" );
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document.write( "use the value you just got for r to find the area.\r<BR>\n" );
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document.write( "your formula is:\r<BR>\n" );
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document.write( "pi * r^2 = area of the circle.\r<BR>\n" );
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document.write( "r = 7.957747155 so we substitute in the equation for r to get:\r<BR>\n" );
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document.write( "pi * (7.957747155)^2 = area of the circle.\r<BR>\n" );
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document.write( "this can be simplified to be:\r<BR>\n" );
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document.write( "3.141592654 * 63.32573978 = 198.9436789 square units.\r<BR>\n" );
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document.write( "the perimeter is 50 units.<BR>\n" );
document.write( "the radius is 7.957747155 units.<BR>\n" );
document.write( "the area is 198.9436789 square units.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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