On a coordinate plane, a circle has a center at (4, 5) and a radius of 3 units.

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

(x - 4) ² + (y - 5) ² = 4

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 ← second option on list

answer is B

Step-by-step explanation:

correct on edg