document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=876802>Question 876802</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "The area of a circle of radius r is given by the formula A=&#960;r^2. Use this fact to find the area for the shaded area in the figure below. \r<BR>\n" );
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document.write( "(The figure is a circle, with radius r, with another shaded circle surrounding it. The shaded part has a width marked 'w'.) \r<BR>\n" );
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document.write( "The answer given is A=2&#960;rw + &#960;w^2. Can you please explain how this is done.\r<BR>\n" );
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document.write( "Thanks. </SPAN>\n" );
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document.write( "Hi,\r<BR>\n" );
document.write( "\n" );
document.write( "The area of a circle of radius r is given by the formula A=&#960;r^2. Use this fact to find the area for the shaded area in the figure below. \r<BR>\n" );
document.write( "\n" );
document.write( "(The figure is a circle, with radius r, with another shaded circle surrounding it. The shaded part has a width marked 'w'.) \r<BR>\n" );
document.write( "\n" );
document.write( "The answer given is A=2&#960;rw + &#960;w^2. Can you please explain how this is done.\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks.<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><BR>\n" );
document.write( "Area of inner (smaller) circle: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "With width of shaded region being “w,” then radius of larger circle = r + w<BR>\n" );
document.write( "Area of outer (larger) circle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%28r+%2B+w%29%5E2 ALIGN=MIDDLE  ALT=\"pi%28r+%2B+w%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%28r%5E2+%2B+2rw+%2B+w%5E2%29 ALIGN=MIDDLE  ALT=\"pi%28r%5E2+%2B+2rw+%2B+w%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2+%2B+2pi%2Arw+%2B+pi%2Aw%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2+%2B+2pi%2Arw+%2B+pi%2Aw%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Area of shaded region = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2+%2B+2pi%2Arw+%2B+pi%2Aw%5E2+-+pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2+%2B+2pi%2Arw+%2B+pi%2Aw%5E2+-+pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28highlight_green%282pi%2Arw+%2B+pi%2Aw%5E2%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28highlight_green%282pi%2Arw+%2B+pi%2Aw%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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