Respuesta :
The standard form of the equation of a circle is given as:
[tex](x-a)^2+(y-b)^2=r^2[/tex]The coordinate point (a,b) is the center of the circle.
The value, r is the radius of the circle.
For the given equation:
[tex]x^2+y^2=r^2[/tex]This can be rewritten as:
[tex](x-0)^2+(y-0)^2=r^2[/tex]This simply implies that the circle with the given equation has a center at the point (0,0), origin, and has a radius of r units.
Take for example the equation of a circle:
[tex]x^2+y^2=25[/tex]Rewrite the equation in standard form:
[tex](x-0)^2+(y-0)^2=5^2[/tex]Compared with the general form given, it follows that a=0, b=0, and r=5.
It follows that the center of the circle is (0,0) and its radius is 5 units.
Note that this information was derived from the equation of the circle, which can then be used to graph the circle.
Plot the center (0,0) and then draw a circle with a radius of 5 units using the center.
So all you need do to draw the circle is to locate the center point (0,0) and then draw a circle with radius, r using the center.
