Young's Modulus of guitar string

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amblove
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Homework Statement



A guitar string of diameter 0.6 mm and length 0.82 m is subject to a tension of 153 N. If the string stretches an amount 0.36 mm, what is Young's modulus of the string?

Homework Equations



Y=Stress/Strain
Stress=F/A
Strain=Amount of stress/Original Length

The Attempt at a Solution



Stress=153/(pi*(0.0003^2)
Strain= 0.00036/0.82

I converted all the units to meters, but it is still not right and I'm not sure what I'm doing wrong.
 
There is an unmatched parentheses on your calculation for stress, but other than that nothing appears to be wrong.