document.write( "Question 726654: Find an equation of the circle whose diameter has endpoints (1, -5) and (5, -1) \n" ); document.write( "

Algebra.Com's Answer #444715 by lwsshak3(11628) $\"\"$ $\"About$

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Find an equation of the circle whose diameter has endpoints (1, -5) and (5, -1)
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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 distance formula to find diameter of circle:
\n" ); document.write( "diameter=√[(x1-x2)^2+(y1-y2)^2]=√[(5-1)^2+(-1+5)^2]=√[(4)^2+(4)^2]=√32=4√2
\n" ); document.write( "radius=2√2
\n" ); document.write( "radius^2=8
\n" ); document.write( "use end points to find coordinates of center:
\n" ); document.write( "midpoint of diameter: (x1+x2)/2, (y1+y2)/2=(5+1)/2, (-1-5)/2=(3,-3)
\n" ); document.write( "center: (3,-3)
\n" ); document.write( "Equation of given circle: $\"%28x-3%29%5E2%2B%28y%2B3%29%5E2=8\"$ \n" ); document.write( "

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