document.write( "Question 800398: Determine the equation of the circle defined by the given conditions
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document.write( "a) (5,1) and (-3,3) are endpoints of a diameter\r
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document.write( "Can you please help me out , thanks so much in advance:) \n" );
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Algebra.Com's Answer #483087 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Determine the equation of the circle defined by the given conditions \n" ); document.write( "a) (5,1) and (-3,3) are endpoints of a diameter \n" ); document.write( "*** \n" ); document.write( "equation of circle: (x-h)^2+(y-k)^2=r^2 \n" ); document.write( "To find center: \n" ); document.write( "Use midpoint formula:(x1+x2)/2,(y1+y2)/2, with end points \n" ); document.write( "=(5-3)/2,(1+3)/2=(1,2)=(x,y) coordinaes of center \n" ); document.write( ".. \n" ); document.write( "Distance formula: d^2=(x1-x2)^2+(y1-y2)^2 \n" ); document.write( "to find radius, use distance formula with coordinates of center(1,2) and one endpoint(-3,3) \n" ); document.write( "r^2=(-3-1)^2+(3-2)^2=16+1=17 \n" ); document.write( "equation of circle: (x-1)^2+(y-2)^2=17\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |