document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255604>Question 255604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of a circle inscribed in a rhombus whose perimeter is 100 cm, and<BR>\n" );
document.write( "whose longer diagonal is 40 cm. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187948 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=187948\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the perimeter is 100 the sides are 25 each.<BR>\n" );
document.write( "The diagonals are perpendicular and meet in the center of the circle.<BR>\n" );
document.write( "There is a right triangle with a side of 40/2=20 and hypotenuse of 25. <BR>\n" );
document.write( "20^2+b^2=25^2<BR>\n" );
document.write( "400+b^2=625<BR>\n" );
document.write( "b^2=225<BR>\n" );
document.write( "b=15<BR>\n" );
document.write( "(15*20)/2=150 sq cm Area of triangle.<BR>\n" );
document.write( "Draw a line from the right angle, which is also the center of the circle, perpendicular to the hypotenuse and label it x.<BR>\n" );
document.write( "25x/2=150<BR>\n" );
document.write( "25x=300<BR>\n" );
document.write( "x=12 radius of the circle.<BR>\n" );
document.write( "pi*12^2=144pi sq cm area of the circle.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );