A machinist is required to manufacture a circular metal disk with area 1000cm^2. If the machinist is allowed an error tolerance of +/- 7cm^2 in the area of the disk, how close to the ideal radius must the machinist control the raidus?
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Verified answer
A = pi r^2; dA/dr = 2 pi r. Evaluate A and dA using the given amounts. (Hint: calculate r.)