document.write( "Question 319088: Two circles each with radius of 1 are inscribed so that their centers lie along the diagonal of the square . Each circle is tangent to two sides of the square and they are tangent to each other. Find the area between the circles and the square. \n" ); document.write( "
Algebra.Com's Answer #228416 by edjones(8007)![]() ![]() You can put this solution on YOUR website! The diagonal of the square is 4. \n" ); document.write( "2a^2=c^2 Pythagoras \n" ); document.write( "2a^2=16 \n" ); document.write( "a^2=8 \n" ); document.write( "a=sqrt(4*2) \n" ); document.write( "=2sqrt(2) side of square \n" ); document.write( "a^2=8 area of square \n" ); document.write( ". \n" ); document.write( "A=pi*r^2 \n" ); document.write( "=pi area of one of the circles \n" ); document.write( "2pi area of both circles \n" ); document.write( ". \n" ); document.write( "8-2pi= area between the circles and the square. \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " |