Alan needs to manufacture a circular metal plate with a perimeter of `10pi` centimeters. If the allowed error tolerance in the perimeter is `+-1` centimeter, how close to the ideal radius must he control the radius of the plate?
A. `1/(5pi)`
B. `1/(10pi)`
C. `2/pi`
D. `1/(2pi)`
Answer: D. `1/(2pi)`
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