document.write( "Question 1179987: What is the exact diameter in centimetres of the largest semi-circle that could be made from 1m of wire? \n" ); document.write( "
Algebra.Com's Answer #809571 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The circumference of a circle is pi times the diameter; half the circumference is (pi/2) times the diameter.

\n" ); document.write( "If that half circumference is 1m, then

\n" ); document.write( "\"%28pi%2F2%29%28d%29=1\"
\n" ); document.write( "\"d=1%2F%28pi%2F2%29=2%2Fpi\"

\n" ); document.write( "And the answer is as shown by the other tutor.

\n" ); document.write( "That answer uses the interpretation that the \"semi-circle\" being formed is an open figure, consisting of only the curved part of the semicircle.

\n" ); document.write( "Another possible interpretation is that the figure being formed is a closed semi-circle, including both the curved part and the diameter. Of course that will give a different answer.

\n" ); document.write( "If the semicircle to be formed is a closed figure, then

\n" ); document.write( "\"%28pi%2F2%29d%2Bd=1\"
\n" ); document.write( "\"%28%28pi%2F2%29%2B1%29d=1\"
\n" ); document.write( "\"d+=+1%2F%28%28pi%2F2%29%2B1%29\"

\n" ); document.write( "Note that the calculations shown for both interpretations are in meters; since the question asks for an answer in centimeters, you need to do a simple conversion of units.

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