MediumMathematicsHigh School (9–10)Mensuration › Areas and PerimetersNumericalword problemBoard Exam SAT

A wheel has a diameter of 0.84 m. It makes 250 complete turns in one minute…

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

A wheel has a diameter of $0.84\ \text{m}$ . It makes $250$ complete turns in one minute. Find the distance it rolls in one minute, in metres, and the speed in kilometres per hour. Take $\pi = \dfrac{22}{7}$ .

Need a reminder? The key ideaShow

One turn of a wheel rolls $\pi d$ , so $n$ turns roll $n\pi d$ . A hand or blade that turns through a fraction of a full turn sweeps that fraction of the area of the circle. Change all lengths to one unit first.

The worked solution

Have you tried it?

Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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