document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193178>Question 1193178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle is inscribed in a circle of radius r. If the rectangle has a length of 3x, write the area of the rectangle as a function of both x and r </SPAN>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-6%2C6%2C-6%2C6%2Ccircle%280%2C0%2C5%29%0D%0A%2Cline%28-4%2C-3%2C4%2C-3%29%2Cline%284%2C-3%2C4%2C3%29%2Cline%284%2C3%2C-4%2C3%29%2Cline%28-4%2C3%2C-4%2C-3%29%2Cline%28-4%2C-3%2C4%2C3%29%0D%0A%2Clocate%280%2C-2.5%2C3x%29%2Clocate%281%2C.5%2C2r%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The diagonal of the rectangle is a diameter of the circle; and it is the hypotenuse of a right triangle whose legs are the length and width of the rectangle.  With hypotenuse of length 2r and the length of the rectangle 3x, the width of the rectangle is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%282r%29%5E2-%283x%29%5E2%29=sqrt%284r%5E2-9x%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%282r%29%5E2-%283x%29%5E2%29=sqrt%284r%5E2-9x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then the area of the rectangle is length times width:<br><BR>\n" );
document.write( "ANSWER: The area of the rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%29%28sqrt%284r%5E2-9x%5E2%29%29 ALIGN=MIDDLE  ALT=\"%283x%29%28sqrt%284r%5E2-9x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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