document.write( "Question 534153: determine the equation of the circle whose center is at (4,5) and tangent to the circle whose equation is x^2+y^2+4x+6y-23=0. \n" ); document.write( "
Algebra.Com's Answer #351334 by KMST(5328)![]() ![]() You can put this solution on YOUR website! The given circle equation can be written as \n" ); document.write( " \n" ); document.write( "and completing squares as \n" ); document.write( " \n" ); document.write( "showing that its radius is 6 and its center is (-2, -3). \n" ); document.write( "The distance between the centers is \n" ); document.write( " \n" ); document.write( "If the circles meet in between the centers (they are externally tangent), the radius of the second circle will be \n" ); document.write( " \n" ); document.write( "and the equation for the second circle will be \n" ); document.write( " \n" ); document.write( "which can be written as \n" ); document.write( " \n" ); document.write( "If we make the second circle contain the first one (internally tangent circles), then the radius would be \n" ); document.write( " \n" ); document.write( "and the equation for the second circle would be \n" ); document.write( " \n" ); document.write( "which can be written as \n" ); document.write( " |