SOLUTION: Hello, thank you for answering my question: What is the exact diameter in cm of the largest semi-circle that could be made from 1m of wire? (keep *pi symbol*) Thank you so mu

Algebra ->  Circles -> SOLUTION: Hello, thank you for answering my question: What is the exact diameter in cm of the largest semi-circle that could be made from 1m of wire? (keep *pi symbol*) Thank you so mu      Log On


   



Question 973590: Hello, thank you for answering my question:
What is the exact diameter in cm of the largest semi-circle that could be made from 1m of wire? (keep *pi symbol*)
Thank you so much!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A whole circle would have a circumference of
C=2pi%2AR
So half a circle would be
C%5Bsc%5D=pi%2AR
C%5Bsc%5D=%28pi%2F2%29%2AD
Then the line to connect the two endpoints would have a length equal to the diameter.
So the total length would be,
L=%28pi%2F2%29%2AD%2BD
L=%28%28pi%2F2%29%2B1%29D
So if L=1,
D=1%2F%28pi%2F2%2B1%29
D=2%2F%28pi%2B2%29m