document.write( "Question 736398: Find the equation of a circle with (2,5) and (3,4) as end points of the diameter. \n" ); document.write( "
Algebra.Com's Answer #449821 by lwsshak3(11628)\"\" \"About 
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Find the equation of a circle with (2,5) and (3,4) as end points of the diameter.
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\n" ); document.write( "Standard form of equation for a circle: \"%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2\", (h,k)=(x,y) coordinates of center, r= radius
\n" ); document.write( "Use midpoint formula to find coordinates of center:
\n" ); document.write( "midpoint=(x1+x2)/2, (y1+y2)/2=(3+2)/2,(4+5)/2=(5/2,9/2)=(2.5,4.5)
\n" ); document.write( "center:(2.5,4.5)
\n" ); document.write( "use distance formula to find diameter:
\n" ); document.write( "d=√[(x1-x2)^2+(y1-y2)^2]=√[(3-2)^2+(4-5)^2]=√(1+1)=√2
\n" ); document.write( "radius=d/2=√2/2
\n" ); document.write( "r^2=2/4=1/2
\n" ); document.write( "Equation of given circle: \"%28x-2.5%29%5E2%2B%28y-4.5%29%5E2=.5\"
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