Answer :

The center of this circle is (2,4) and its radius is 8.

It is required to find the center and radius of the circle.

What is 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 that:

The equation of a circle in standard form is:

[tex](x-a)^{2} +(y-b)^{2} =r^{2}[/tex]

The x-coordinate of the center is a the y-coordinate of the center is b

, and r is the radius.

In this case,

a=2

,

b=4

and

r=8.

Hence, the center of this circle is (2,4) and its radius is 8.

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