document.write( "Question 660534: What do they mean when they say \"Write the equation of a circle with radius equal to square root 2 and center at (2, 5).\" I understand how to set up the equations but what's throwing me off is the radius equal to square root 2. What does that mean? \n" ); document.write( "

Algebra.Com's Answer #411239 by math-vortex(648) $\"\"$ $\"About$

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Hi, there---
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document.write( "Hi, there--\r\n" );
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document.write( "The formula for the equation of a circle is (x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center of the circle, and r is the radius. \r\n" );
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document.write( "A circle can have a radius of sqrt(2). It's an irrational length so you cannot measure it exactly \r\n" );
document.write( "with a rule, but it is a valid mathematical length. \r\n" );
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document.write( "When you plug r=sqrt(2) into your equation formula, you will get \r\n" );
document.write( "(x-h)^2 + (y-k)^2 = (sqrt(2))^2\r\n" );
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document.write( "Squaring a number is the reciprocal operation to taking the square root; they undo each other.\r\n" );
document.write( "Therefore, the square root of 2 squared is just 2.\r\n" );
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document.write( "Insert (h,k)=(2,5), your equation is\r\n" );
document.write( "(x-2)^2 + (y-5)^2 = 2\r\n" );
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document.write( "Mrs. Figgy\r\n" );
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