Which equation represents a circle with the same center as the circle shown but with a different 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

The standard equation of the circle is:
 (x-k) ^ 2 + (y-h) ^ 2 = r ^ 2
 Where,
 (x, h): coordinates of the center of the circle
 r: radius of the circle
 Substituting values we have:
 (x-4) ^ 2 + (y-5) ^ 2 = 2 ^ 2
 Rewriting we have:
 (x-4) ^ 2 + (y-5) ^ 2 = 4
 
 An equation that represents a circle with the same center as the circle shown but with a different radius of 2 units is:
 (x-4) ^ 2 + (y-5) ^ 2 = 4
 option 2