document.write( "Question 1154417: What is the radius of the smallest circle that surrounds a 5-by-12 rectangle? \n" ); document.write( "

Algebra.Com's Answer #776842 by ikleyn(52782) $\"\"$ $\"About$

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

\r\n" );
document.write( "\r\n" );
document.write( "The smallest circle that surrounds any rectangle (\"a rectangle\"), is called circumscribed circle around the rectangle.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "For any such a rectangle and circumscribed circle, its center lies in the intersection point of the rectangle's diagonals,\r\n" );
document.write( "\r\n" );
document.write( "and each of the two diagonals is a diameter of the circle.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The diagonal (each diagonal) of a 5-by-12 rectangle has the length of 13 units\r\n" );
document.write( "\r\n" );
document.write( "(13^2 = 5^2 + 12^2).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The radius of this circle is half of the diagonal length.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Therefore, the radius of such circle is   = 6.5 units.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Answered, solved, and explained.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Come again to this forum soon to learn something new (!)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );