7(b) Relative Error of Football Diameter

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10/23/2025

Problem

The diameter of a football is measured to be 60 cm, correct to the nearest 0.5 cm. Find the relative error of the measurement.

Solution

Hints:

0.00417

Maximum absolute error = \\frac{0.5}{2} = 0.25 \\text{ cm}. Relative error = \\frac{0.25}{60} \\approx 0.0041667, which is approximately 0.00417 (to 3 significant figures).

Tags

relative error

measurement