document.write( "Question 929900: a circle of radius 6 units has half of its area removed by cutting off a border of uniform width find the width of the border \n" ); document.write( "

Algebra.Com's Answer #564568 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( "A = 
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document.write( "let x be the width of the border
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document.write( " 18 = (6-x)^2 = 36 - 12x +x^2
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document.write( "x^2  - 12x + 18 = 0
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document.write( "x = 1.75735931288072
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document.write( "Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation  (in our case ) has the following solutons:
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document.write( "  For these solutions to exist, the discriminant  should not be a negative number.
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document.write( "  First, we need to compute the discriminant : .
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document.write( "  
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document.write( "  Discriminant d=72 is greater than zero. That means that there are two solutions: .
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document.write( "    Quadratic expression  can be factored:
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document.write( "  Again, the answer is: 10.2426406871193, 1.75735931288072.\n" );
document.write( "Here's your graph:
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