document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=966649>Question 966649</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of a sector of a circle with the radius 7cm is 15 square cm. Find the measure of the central angle of the sector in degrees. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590799 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=590799\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the area of a sector is equal to x / 360 * pi * r^2.\r<BR>\n" );
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document.write( "your area is 15 square cm.\r<BR>\n" );
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document.write( "your radius is equal to 7 cm.\r<BR>\n" );
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document.write( "the formula becomes 15 square cm = x / 360 * pi * 7^2\r<BR>\n" );
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document.write( "solve for x to get x = 15 * 360 / pi / 7^2 which becomes x = 35.07904868 degrees.\r<BR>\n" );
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document.write( "to see if that's correct, go back to the original formula and replace x with 35.07904868 and solve for the area to see is you get 15 square cm.\r<BR>\n" );
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document.write( "the formula is:\r<BR>\n" );
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document.write( "A = x/360 * pi * r^2\r<BR>\n" );
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document.write( "x = 35.07904868<BR>\n" );
document.write( "r = 7<BR>\n" );
document.write( "r^2 = 49\r<BR>\n" );
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document.write( "formula becomes A = (35.07904868 / 360) * pi * 49\r<BR>\n" );
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document.write( "solve for A to get A = 15.\r<BR>\n" );
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document.write( "solution is confirmed as good.\r<BR>\n" );
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document.write( "angle = 35.07904868 degrees.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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