Question

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

Answer 1

Standard form: (x − h)^2 + (y − k)^2 = r^2. With center (4,5) and radius 2, r^2 = 4, so

(x − 4)^2 + (y − 5)^2 = 4.

Thus the second choice.