Respuesta :

Answer:

(0,0)

Step-by-step explanation:

a diameter means The average of two measurements of the diameter taken at right angles to each other. so if you try graphing you will be able to find out its (0,0) is the center of the circle coordinates

The coordinates of the center of this circle is (0,0).

What are the coordinates of a center of a circle?

The center of a circle is the midpoint of the diameter. So, by using the midpoint formula, if the endpoints of the diameter are (a, b) and (c, d), then the coordinates of the center of circle are [(a + c)/2, (b + d)/2].

According to the question

The endpoints of the diameter of a circle are (6, 0) and (-6, 0).

now ,

(a,b) =  (6, 0)

(c, d)= (-6, 0)

coordinates of the center of circle = [ [tex]\frac{a+c}{2} ,\frac{b+d}{2}[/tex] ]

[tex]\frac{6-6}{2} ,\frac{0+0}{2}[/tex]

⇒ (0,0)

Hence, the coordinates of the center of this circle is (0,0).

To know more about coordinates of a center of a circle here :

https://brainly.com/question/16727777

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