# What is the equation of the circle with a center at #(7 ,1 )# and a radius of #2 #?

So

graph{[-1.42, 11.064, -2.296, 3.944]} = (x-7)^2 + (y-1)^2

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The equation of a circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2.

Substituting the given values, the equation of the circle is:

(x - 7)^2 + (y - 1)^2 = 2^2.

Therefore, the equation of the circle is:

(x - 7)^2 + (y - 1)^2 = 4.

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