document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74773>Question 74773</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395937787/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> OK now i have a question that i TOTALLY don't get. Its how do you find the arc length and area of a sector with the given..... r=2cm, and the weird 0 with the slash through it =9PI/20     Please help!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53776 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=53776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The reason why radians are used is because with a unit circle the angle measure is the arc length. So if I have an angle with the measure of pi, then I have an arc length of pi. So the arc length formula of a unit circle is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE s=\theta\">\r<BR>\n" );
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document.write( "So if we have a circle with a radius of 2, we just multiply the formula by 2. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE s=2\theta\"><BR>\n" );
document.write( "For a general radius r we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE s=r\theta\"><BR>\n" );
document.write( "So for a radius of 2 cm and an angle of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \theta=\frac{9\pi}{20}\"> the arc length is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE s=(2)(\frac{9\pi}{20})\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE s=\frac{9\pi}{10}\"><BR>\n" );
document.write( "So the arc length is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{9\pi}{10}\">\r<BR>\n" );
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document.write( "To find the area of a circle, the formula is given as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A=\pi r^2\"><BR>\n" );
document.write( "So to find the area of a sector, we just multiply this total area by a fraction. For instance, if we have half a circle (with an angle of pi) we multiply the total area by 1/2. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{\not\pi}{2\not\pi}=\frac{1}{2}\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{A}{2}=\frac{\not\pi}{2\not\pi} \pi r^2\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{A}{2}=\frac{1}{2} \pi r^2\"><BR>\n" );
document.write( "For any general <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \theta\"> we do the same thing<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A=\frac{\theta}{2\not\pi} \not\pi r^2\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A=\frac{\theta}{2} r^2\"><BR>\n" );
document.write( "So the area of a sector is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A=\frac{1}{2} r^2 \theta\"><BR>\n" );
document.write( "So lets plug in r=2 and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \theta=\frac{9\pi}{20}\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A=\frac{1}{2} (2)^2(\frac{9\pi}{20})\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A=\frac{9\pi}{10}\"><BR>\n" );
document.write( "So the area is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{9\pi}{10}\"> </SPAN>\n" );
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