A wheel makes 560 revolutions to cover a distance of 1.76 kilometers. Find the radius of the wheel in centimeters. (Use π ≈ 3.1416)
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Correct answer: A
Explanation
Given:
Total distance = 1.76 km
Rotations = 560
π = 3.1416
By formula:
Circumference of circle = 2πr
1.76 km = 176000 cm
Distance of one revolution = 176000 / 560 = 314.2857 cm
2πr = 314.2857
r = 314.2857 / (2 × 3.1416)
= 314.2857 / 6.2832
= 50.07 cm