document.write( "Question 299600: The equation of the inner circle is x2 + y2 = 9. The radius of the outer circle is three times the radius of the inner circle. What is the equation of the outer circle \n" ); document.write( "
Algebra.Com's Answer #215221 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! The equation of the inner circle is x2 + y2 = 9. The radius of the outer circle is three times the radius of the inner circle. What is the equation of the outer circle\r \n" ); document.write( "\n" ); document.write( "The standard form of a circle with center at (h,k) and radius r is:\r \n" ); document.write( "\n" ); document.write( "(x-h)^2 + (y-k)^2 = r^2\r \n" ); document.write( "\n" ); document.write( "The inner circle's equation can be rewritten as:\r \n" ); document.write( "\n" ); document.write( "(x-0)^2 + (y-0)^2 = 3^2 and so has center at (0,0) and radius 3.\r \n" ); document.write( "\n" ); document.write( "Since the outer circle also has center at (0,0) but has radius 3*3 = 9 its equation is:\r \n" ); document.write( "\n" ); document.write( "(x-0)^2 + (y-0)^2 = 9^2 or\r \n" ); document.write( "\n" ); document.write( "x^2 + y^2 = 81 \n" ); document.write( " |