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how do I center a small circle into a bigger one perfectly...

 Nov 24, 2016

Best Answer 

 #1
avatar+118654 
+5

How do I center a small circle into a bigger one perfectly...

 

The equation of a circle is

 

\(\boxed{(x-h)^2+(y-k)^2=r^2}\)where (h,k) is the centre and r is the radius.

 

so if  you have 2 circle equations with the same centre but with different radii, they will be concentric circles.

eg

 

\((x+1)^2+(y-3)^2=16\qquad and\\ (x+1)^2+(y-3)^2=9\)

 

 Nov 24, 2016
 #1
avatar+118654 
+5
Best Answer

How do I center a small circle into a bigger one perfectly...

 

The equation of a circle is

 

\(\boxed{(x-h)^2+(y-k)^2=r^2}\)where (h,k) is the centre and r is the radius.

 

so if  you have 2 circle equations with the same centre but with different radii, they will be concentric circles.

eg

 

\((x+1)^2+(y-3)^2=16\qquad and\\ (x+1)^2+(y-3)^2=9\)

 

Melody Nov 24, 2016
 #2
avatar+129840 
+5

Thanks, Melody.....here's another method.....

 

Draw any size circle

 

Draw any chord within the circle

 

Draw a perpendicular bisector to this chord and extend it to both edges of the circle.....this will be a diameter

 

Draw a perpendicular bisector to this diameter

 

The point of bisection is the center of the circle

 

Now any size circle(s) can be costructed using this point as their center(s)

 

 

 

cool cool cool

 Nov 24, 2016

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