document.write( "Question 133785: A horse is tied at one corner of a 10m by 20m barn. If the rope is 25m long, find the area of the region in which the horse can graze. Leave your answer in terms of PI.\r
\n" ); document.write( "\n" ); document.write( "Area of the a circle is A=r^2Pi\r
\n" ); document.write( "\n" ); document.write( "r=25m is the length of the rope or the radius
\n" ); document.write( "The corner of the 20m x 10m barn is the center of the circle.
\n" ); document.write( "Therefore the each side measurement of the barn will add up to 25m.\r
\n" ); document.write( "\n" ); document.write( " 20+5=25m 10+15=25m\r
\n" ); document.write( "\n" ); document.write( "The area of the barn will be a third of the circle which means the horse can only graze 2/3 of the region.\r
\n" ); document.write( "\n" ); document.write( "Notice: A=r^2Pi r=25m
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\n" ); document.write( "Since the horse can only graze 2/3 of the region, the area formula is:\r
\n" ); document.write( "\n" ); document.write( " A=2/3r^2Pi
\n" ); document.write( " =2/3 (25)^2Pi
\n" ); document.write( " =2/3(625)Pi
\n" ); document.write( " =1250/3Pi or
\n" ); document.write( " =416.67Pi
\n" ); document.write( " \r
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Algebra.Com's Answer #100458 by tns_tutor5000(9)\"\" \"About 
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