Lösung 4.1:6b

Aus Online Mathematik Brückenkurs 1

(Unterschied zwischen Versionen)
Wechseln zu: Navigation, Suche
K
Zeile 1: Zeile 1:
-
A quick way to interpret the equation is to compare it with the standard formula for the equation of a circle with centre at
+
A quick way to interpret the equation is to compare it with the standard formula for the equation of a circle with centre at (''a'',''b'') and radius ''r'',
-
<math>\left( a \right.,\left. b \right)</math>
+
-
and radius
+
-
<math>r</math>,
+
-
 
+
-
 
+
-
<math>\left( x-a \right)^{2}+\left( y-b \right)^{2}=r^{2}</math>
+
 +
{{Displayed math||<math>(x-a)^2 + (y-b)^2 = r^2\,\textrm{.}</math>}}
In our case, we can write the equation as
In our case, we can write the equation as
 +
{{Displayed math||<math>(x-1)^2 + (y-2)^2 = (\sqrt{3})^2</math>}}
-
<math>\left( x-1 \right)^{2}+\left( y-2 \right)^{2}=\left( \sqrt{3} \right)^{2}</math>
+
and then we see that it describes a circle with centre at (1,2) and radius <math>\sqrt{3}\,</math>.
-
and then we see that it describes a circle with centre at
 
-
<math>\left( 1 \right.,\left. 2 \right)</math>
 
-
and radius
 
- 
- 
-
{{NAVCONTENT_START}}
 
[[Image:4_1_6_b.gif|center]]
[[Image:4_1_6_b.gif|center]]
- 
-
{{NAVCONTENT_STOP}}
 

Version vom 10:36, 8. Okt. 2008

A quick way to interpret the equation is to compare it with the standard formula for the equation of a circle with centre at (a,b) and radius r,

Vorlage:Displayed math

In our case, we can write the equation as

Vorlage:Displayed math

and then we see that it describes a circle with centre at (1,2) and radius \displaystyle \sqrt{3}\,.


Von „http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/L%C3%B6sung_4.1:6b“