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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.). . . cm. . (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.). cm

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meerkat18
We are given with an area of a disk equal to 500 cm2. Area of a circle is equal to pi r^2. Hence the radius of the disk is equal to (500/pi)^0.5 or equal to 12.6159 cm. If the area is equal to 507 cm^2, then r is equal to 12.7039 cm, while if the area is 493 cm2, the radius is 12.5272 cm. The percent difference is 0.7% and 0.69%

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