[TR] length of string - long

[Dave1massey at cs.com]

Actually, Andrew had it right, too.

You wrote: c +3 = (pi * d) +3

He wrote circumference + 3 = pi * d + 3

These are equivalent but yours is explicit whereas his is implicit and 
dependent on the rules of precedence.  When evaluating his equation you perform the 
multiplication before the addition which is the same as what you spelled out 
with your parentheses.  To avoid confusion your representation is preferred but 
either is correct.

And his answer 3/pi is nearly equal to your one foot result.  More accurate, 
in fact, but either is close enough for our purposes.

Dave

In a message dated 11/20/2007 10:50:34 AM Central Standard Time, 
cfmtr3a at verizon.net writes: 
> Andrew -
> your formula is wrong:
> c= circumference
> 
> c= pi * d  is correct
> 
> c +3 = (pi * d) +3
> 
> however your answer is correct - the diameter would increase by 
> approximately 1 ft.
> your formula would have increased the diameter by 3ft.
> 
> Carl
> 
> 
> 
> ----- Original Message ----- 
> From: "Andrew Uprichard" <auprichard at comcast.net>
> To: <eric.frenken at brits-n-pieces.com>; "'Kent Shrack'" 
> <kentshrack at yahoo.com>; <triumphs at autox.team.net>
> Sent: Tuesday, November 20, 2007 6:18 AM
> Subject: Re: [TR] length of string - long
> 
> 
> >The distance is 3/(2*pi) in both cases.
> >
> >circumference = pi * d
> >
> >circumference + 3 = pi * d + 3
> >      = pi * (d + 3/pi)
> >
> >The diameter increases by 3/pi regardless of the starting diameter.