document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198765>Question 1198765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A flower garden is shaped like a circle. Its diameter is 38yd. A ring-shaped path goes around the garden. The width of the path is 5yd.<BR>\n" );
document.write( "The gardener is going to cover the path with sand. If one bag of sand can cover 7yd2, how many bags does the gardener need? </SPAN>\n" );
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document.write( "Circle Area formula<BR>\n" );
document.write( "A = pi*r^2\r<BR>\n" );
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document.write( "The garden, minus the path, has a diameter of 38 yards.<BR>\n" );
document.write( "Half of which is 38/2 = 19 yards. <BR>\n" );
document.write( "This is the radius of the smaller inner circle.\r<BR>\n" );
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document.write( "Let's compute the area of this circle<BR>\n" );
document.write( "A = pi*r^2<BR>\n" );
document.write( "A = pi*19^2<BR>\n" );
document.write( "A = pi*361<BR>\n" );
document.write( "A = 361pi\r<BR>\n" );
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document.write( "The path around the garden is 5 yards in width.<BR>\n" );
document.write( "This will add 5 to the radius we found earlier.<BR>\n" );
document.write( "19+5 = 24<BR>\n" );
document.write( "The outer concentric circle has a radius of 24 yards.\r<BR>\n" );
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document.write( "The larger circle has an area of:<BR>\n" );
document.write( "A = pi*r^2<BR>\n" );
document.write( "A = pi*24^2<BR>\n" );
document.write( "A = pi*576<BR>\n" );
document.write( "A = 576pi\r<BR>\n" );
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document.write( "Now compute the difference of these items to find the area of the garden path only (i.e the outer ring).<BR>\n" );
document.write( "576pi - 361pi = (576-361)pi = 215pi\r<BR>\n" );
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document.write( "The exact area of the path only is 215pi square yards.<BR>\n" );
document.write( "This is approximately <BR>\n" );
document.write( "215*3.1415926535898 = 675.442420521807 square yards.\r<BR>\n" );
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document.write( "x = number of bags of sand needed<BR>\n" );
document.write( "1 bag covers 7 square yards<BR>\n" );
document.write( "x bags cover 7x square yards<BR>\n" );
document.write( "7x = 675.442420521807<BR>\n" );
document.write( "x = 675.442420521807/7<BR>\n" );
document.write( "x = 96.4917743602581<BR>\n" );
document.write( "Round that up to the nearest integer to get x = 97\r<BR>\n" );
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document.write( "Answer: 97 bags of sand are needed.<BR>\n" );
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