\nThe distance covered by a wheel in one revolution is equal to its circumference (C = 2\u03c0r). The total distance covered is the number of revolutions multiplied by the circumference.
\nTotal distance = 44 km = 44,000 meters.
\nNumber of revolutions = 5000.
\nCircumference C = Total distance \/ Number of revolutions = 44,000 m \/ 5000 = 44\/5 m = 8.8 m.
\nUsing the formula for circumference C = 2\u03c0r:
\n8.8 m = 2 * (22\/7) * r
\n8.8 = (44\/7) * r
\nr = (8.8 * 7) \/ 44 = (88\/10 * 7) \/ 44 = (2 * 44 \/ 10 * 7) \/ 44 = (2\/10) * 7 = 0.2 * 7 = 1.4 meters.
\nConverting meters to centimeters: 1.4 meters * 100 cm\/meter = 140 cm.
\nHowever, 140 cm is not among the options. Let’s re-check the calculation assuming the distance was 4.4 km instead of 44 km, as the options are relatively small values in cm.
\nIf distance = 4.4 km = 4400 m.
\nCircumference C = 4400 m \/ 5000 = 44\/50 m = 22\/25 m = 0.88 m.
\nUsing C = 2\u03c0r:
\n0.88 m = 2 * (22\/7) * r
\n0.88 = (44\/7) * r
\nr = (0.88 * 7) \/ 44 = (88\/100 * 7) \/ 44 = (2 * 7) \/ 100 = 14\/100 = 0.14 meters.
\nConverting meters to centimeters: 0.14 meters * 100 cm\/meter = 14 cm.
\nThis matches option A. Given the options, it is highly probable that the intended distance in the question was 4.4 km, not 44 km.
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