From Förberedande kurs i matematik 1

Revision as of 12:23, 27 September 2008 (edit) Ian (Talk | contribs) ← Previous diff		Current revision (11:46, 8 October 2008) (edit) (undo) Tek (Talk | contribs) m
Line 1:		Line 1:
	Because the wheel's circumference is		Because the wheel's circumference is
		+	{{Displayed math||<math>2\pi\cdot\text{(radius)} = 2\pi\cdot 0\textrm{.}5\ \text{metres} = \pi\ \text{metres}</math>}}
-	<math>2\pi \centerdot </math>	+	the wheel turns <math>\pi</math> metres on each revolution, and in 10 metres the wheel therefore turns
-	radius metres metres	+
-	the wheel turns	+	{{Displayed math||<math>\frac{10\ \text{metres}}{\pi\ \text{metres}} = \frac{10}{\pi }\ \textrm{revolutions}\approx 3\textrm{.}2\ \textrm{revolutions.}</math>}}
-	<math>\pi </math>	+
-	metres on each revolution, and in	+
-	<math>\text{1}0</math>	+
-	metres the wheel therefore turns	+
-		+
-		+
-	<math>\frac{10\ \text{metres}}{\pi \ \text{metres}}=\frac{10}{\pi }\approx 3.2</math>	+
-	revolutions	+

---

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.}