Which equation represents a circle with the same center as

the circle shown but with a radius of 2 units?

(x-4) ^2 + (y - 5) ^2 = 2

(x-4) ^2 + (y - 5) ^2 = 4

(x - 5) ^2 + (y - 4) ^2 = 2

(x - 5) ^2 + (y - 4) ^2 = 4

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The Equation (x-5) ^2 + (y-4) ^2 = 4 is the equation which represents a circle with the same center.

Step-by-step explanation:

The equation of a circle is (x - h) 2 + (y - k) 2 = r2, Therefore substituting the values in the above equation of circle. we get (x-5) ^2 + (y-4) ^2 = 4