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No not all circles have the same centre.
If the circles formula is in the form x2+ y2=r2 then the centre is always the origin= (0,0). But if the formula for the circle is in the form (x-h)2+(y-k)2= r2 then the centre is the the opposite sign of the h and the k.
Eg. (x+4)2+(y-9)2=16 the centre would be (-4,9) and the radius would be 4
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What are circles having the same center?
concentric circles
Do tangent circles have the same center?
No, tangent circles do not have the same center. They just touch at the side. Here is an example:
Is the center of a circle the point of intersection for two concentric circles?
Concentric circles are the circles with the same center therefore they do not cross with each other as the "center is not considered a point on the circle". An exception would be two circles that are concentric and have the same radius, in which case the circles are indistinct and every point of the circles is an intersection.
Is it possible to have five circles with the same center?
Yes. The circles can be of different size. These are called concentric circles.
What are circles called with the same centre points?
Circles that have the same center point are referred to as concentric circles. These circles can have different radii, resulting in varying sizes, but they share the same center. This arrangement is often seen in designs and patterns, illustrating the concept of concentricity in geometry.
