document.write( "Question 1154420: 689.What is the radius of the largest circle that you can draw on graph paper that encloses
\n" ); document.write( "(a) no lattice points?
\n" ); document.write( "(c) exactly two lattice points?
\n" ); document.write( "(b) exactly one lattice point? (d) exactly three lattice points?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #776838 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "(a)  The radius of such a circle is less than  \"sqrt%282%29%2F2\"  units.\r\n" );
document.write( "\r\n" );
document.write( "     But, although the radius is limited from above, there is NO the largest circle with such properties: \r\n" );
document.write( "     for any such a circle, there is another with the greater radius\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(c)  Again, the radius in this case is limited from above by the value of \"sqrt%281%5E2+%2B+0.5%5E2%29\" = \"sqrt%281.25%29\" = \"sqrt%285%29%2F2\" units.\r\n" );
document.write( "\r\n" );
document.write( "     But, although the radius is limited from above, there is NO the largest circle with such properties: \r\n" );
document.write( "     for any such a circle, there is another with the greater radius,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(b)  The radius in this case is limited from above by the value of 1 unit,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     But . . . . . . . and so on . . . with the same refrain . . .  \r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );