101 y
9
8
Which equation represents a circle with the same center as
the circle shown but with a radius of 2 units?
W (x-4)² + (y – 5)2=2
(x – 4)2 + (y – 5)2 = 4
(x - 5)2 + (-4)2 = 2
(x - 5)2 + (-4)2 = 4
7
6
5
4
3
2
1
2
3
4
6
CO
9 10

second option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (4, 5) and r = 2 , thus

(x - 4)² + (y - 5)² = 2², that is

(x - 4)² + (y - 5)² = 4 ← equation of circle

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