document.write( "Question 549713: if ABCD is a square of area of 4 sq cm, find the radius of the circle that passes through all the vertices of the square.
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Algebra.Com's Answer #357973 by mananth(16946)![]() ![]() You can put this solution on YOUR website! square \n" ); document.write( "Area = 4cm^2\r \n" ); document.write( "\n" ); document.write( "side = 2\r \n" ); document.write( "\n" ); document.write( "Use Pythagoras theorem \n" ); document.write( "diagonal = hypotenuse \r \n" ); document.write( "\n" ); document.write( "diagonal ^2= side1^2+side2^2\r \n" ); document.write( "\n" ); document.write( "diagonal^2=2^2+2^2\r \n" ); document.write( "\n" ); document.write( "diagonal^2=8\r \n" ); document.write( "\n" ); document.write( "diagonal = sqrt(8)\r \n" ); document.write( "\n" ); document.write( "the radius of the sircle will be 1/2 the diagonal \n" ); document.write( "sqrt(8)/2 \n" ); document.write( "=2sqrt(2)/2 \n" ); document.write( "=sqrt(2) \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |