document.write( "Question 1143631: An octagon, a triangle and a circle all have the same distance around That's perimeter for the octagon and triangle, and circumference for the circle). Which is true of the areas of these shapes. (O=area of octagon, T= area of triangle and c= area of circle)
\n" ); document.write( "E) O < C < T
\n" ); document.write( "F) O = T = C
\n" ); document.write( "G) C > T = C
\n" ); document.write( "H) C > O > T \n" ); document.write( "
Algebra.Com's Answer #764494 by Edwin McCravy(20059)\"\" \"About 
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document.write( "The circle is the one figure that has the greatest possible area for a\r\n" );
document.write( "given perimeter.  So we know that the circle has the largest area.\r\n" );
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document.write( "If you had been given that the octagon is a regular octagon and that the\r\n" );
document.write( "triangle is equilateral, the answer would be \r\n" );
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document.write( "H) C > O > T\r\n" );
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document.write( "However, since this is not given, we can't be sure of that. \r\n" );
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document.write( "For a given perimeter, the area of an n-sided polygon can have any\r\n" );
document.write( "area between 0 and the area of a n-sided regular polygon with that perimeter.\r\n" );
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document.write( "Since we cannot be sure that the octagon is regular and the triangle is\r\n" );
document.write( "equilateral, there is no way to know whether the octagon has a greater area\r\n" );
document.write( "than the triangle, or vice-versa.  We can only know that the circle's\r\n" );
document.write( "area is the largest of the three.\r\n" );
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document.write( "Without knowing whether the octagon is regular and the triangle is \r\n" );
document.write( "equilateral, we can't solve the problem.  The problem is botched\r\n" );
document.write( "without that information.  But the circle has the greatest area. \r\n" );
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document.write( "Edwin
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