The distance between the centers of the circle is [tex]3\sqrt{2}[/tex] units.
It is required to find the distance between the centers of the circle.
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
Given:
Radius =5 units
XY = 8
According to given question we have
XY=
[tex]\sqrt{3^{2}+3^{2} } \\\\=\sqrt{18} \\\\=\sqrt{9.2} \\\\=3\sqrt{2}[/tex]
Therefore, the distance between the centers of the circle is [tex]3\sqrt{2}[/tex] units.
Learn more details about circle here:
https://brainly.com/question/11833983
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