From Förberedande kurs i matematik 1

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-	{{NAVCONTENT_START}}	+	Because the wheel's circumference is
-	<center> [[Image:4_1_8.gif]] </center>	+
-	{{NAVCONTENT_STOP}}	+	{{Displayed math||<math>2\pi\cdot\text{(radius)} = 2\pi\cdot 0\textrm{.}5\ \text{metres} = \pi\ \text{metres}</math>}}
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		+	the wheel turns <math>\pi</math> metres on each revolution, and in 10 metres the wheel therefore turns
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		+	{{Displayed math||<math>\frac{10\ \text{metres}}{\pi\ \text{metres}} = \frac{10}{\pi }\ \textrm{revolutions}\approx 3\textrm{.}2\ \textrm{revolutions.}</math>}}

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Current revision

Because the wheel's circumference is

\displaystyle 2\pi\cdot\text{(radius)} = 2\pi\cdot 0\textrm{.}5\ \text{metres} = \pi\ \text{metres}

the wheel turns \displaystyle \pi metres on each revolution, and in 10 metres the wheel therefore turns

\displaystyle \frac{10\ \text{metres}}{\pi\ \text{metres}} = \frac{10}{\pi }\ \textrm{revolutions}\approx 3\textrm{.}2\ \textrm{revolutions.}