document.write( "Question 1116437: A 1-inch diameter coin is thrown on a table
\n" ); document.write( "covered with a grid of lines two inches apart. What
\n" ); document.write( "is the probability the coin lands in the square without
\n" ); document.write( "touching any of the lines of the grid? \n" ); document.write( "

Algebra.Com's Answer #731322 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "The radius of the coin is 0.5 in.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Watch for the position of the center of the coin (Xc,Yc).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "If   0.5 < Xc < 1.5   and  0.5 < Yc < 1.5,  then the coin does not touch the grid lines.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, when the center of your coin is inside of this square  0.5 < Xc < 1.5,  0.5 < Yc < 1.5, then there is no touching.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The area of the small square is 1 square unit.  The area of the grid square is 4 units.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The answer to the problem's question is: the probability of not touching is  .\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );