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A machinist is required to manufacture a circular metal disk with area 500 cm2. (a) What radius produces such a disk? (Round your answer to four decimal places.) 12.6157cm (b) If the machinist is allowed an error tolerance of ±7 cm2 in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius? (Round your answers to four decimal places.) 12.5270cm<r<12.7037cm What value of ε is given? cm2 What is the corresponding value of δ? (Round your answer to four decimal places.) cm