document.write( "Question 1199330: Find the area of the larger circle in $\"+cm%5E2+\"$ if $\"+r=sqrt%282%29+\"$ cm.
\n" ); document.write( "https://ibb.co/PjYkRmL\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #833164 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "\r\n" );
document.write( " \r\n" );
document.write( "\r\n" );
document.write( "To find the area of the larger circle, we need to find its radius.\r\n" );
document.write( "\r\n" );
document.write( "The red and green triangles are similar 45-45-90 isosceles right triangles.\r\n" );
document.write( "Since the green hypotenuse is given to be , it is a standard\r\n" );
document.write( "1-1- isosceles right triangle, and its legs are 1 each.\r\n" );
document.write( "\r\n" );
document.write( "The radius of the larger circle is the sum of the red and green hypotenuses.\r\n" );
document.write( "The green hypotenuse is  and is a radius of the small circle, So, the \r\n" );
document.write( "vertical red side is also , because it is also a radius of the smaller circle. \r\n" );
document.write( "\r\n" );
document.write( "We set up a proportion between the sides of the two similar triangles:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Cross-multiply and get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Using ,\r\n" );
document.write( "\r\n" );
document.write( " cm²\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );