document.write( "Question 565857: hey this is my question. I have asked around and all i got were answers that were way to complicated for mathematically challenged person such as I.
\n" );
document.write( "I hope you can help me understand the question and the answer.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Is it possible for an inscribed rectangle in a circle to have a diameter for a side and a circumscribed rectangle about a circle to be a square? Explain. \n" );
document.write( "
Algebra.Com's Answer #365959 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Inscribed rectangle. The long side of the rectangle must be a chord less than a diameter. If one side of the rectangle were a diameter, then the other long side would have to be a diameter and either that second side would have endpoints outside of the circle (hence not an inscribed rectangle) or the short sides of the rectangle would have zero length, hence no rectangle at all.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The only rectangle that can have an inscribed circle (that is the only way I can make sense of your \"circumscribed rectangle\") is a square because all 4 sides would necessarily have the same length.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "John \n" ); document.write( " \n" ); document.write( "My calculator said it, I believe it, that settles it \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |