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The circumference of a circle with radius measuring 28cm is about 175.9cm (C = r x 2 x Pi).

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Q: What is the circumference of a circle with radius measuring 28cm?
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The number of revolutions will be equal to the distance of the trip divided by the circumference of the wheel. We're already given the trip distance, and the circumference can be worked out from the radius we're given. Recall: the circumference of a circle is equal to pi multiplied by twice it's radius; or more formally:c = 2πrIn this case, r is equal to 28cm, so we can say:c = 2π28cm≈ 2 × 3.14159265 × 28cm≈ 175.929cmNow we can take the distance of the trip, 3km, and divide it by the circumference of the wheel, 175.929 centimeters. That will give us the number of revolutions for the wheel:R ≈ 3km / 175.929cmWe will of course have to convert the units first. There are one hundred thousand centimeters in a kilometer, so we can say:R ≈ 300000cm / 175.929cm∴ R ≈ 1705.232That gives us the number of revolutions that would be required, but the question asks how many complete revolutions are needed. This means the last 0.232 revolutions would not be part of our final answer. Instead we can say:R = 1705So the wheel must do one thousand, seven hundred and five complete revolutions for a three kilometer journey.


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