document.write( "Question 859243: You are standing 16 feet
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Algebra.Com's Answer #517656 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Hint: Draw the picture to get\r
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\n" ); document.write( "\n" ); document.write( "You are at point D. The length of CD is 16 feet. The center of the circle is point A. Point B is the point of tangency of line BD (angle ABD = 90 degrees) and segment BD = 25 feet.\r
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\n" ); document.write( "\n" ); document.write( "The radius of the circle is unknown for now. We'll call it \"r\"\r
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\n" ); document.write( "\n" ); document.write( "Now use the Pythagorean Theorem\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2+%2B+b%5E2=c%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"r%5E2+%2B+25%5E2=%2816%2Br%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"r%5E2+%2B+625=256%2B32r%2Br%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"r%5E2+%2B+625-r%5E2=256%2B32r%2Br%5E2-r%5E2\" Subtract \"r%5E2\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"625=256%2B32r\"\r
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\n" ); document.write( "\n" ); document.write( "I'll let you finish up.\r
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\n" ); document.write( "\n" ); document.write( "Keep in mind that \"d+=+2r\" where \"d\" is the diameter of the circle.
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