Question

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

b. (x – 4)2 + (y – 5)2 = 4

Explanation:

Answer 2

The answer answer will be (x-4)2 + (y-5)2 = 4.
You get this by using the coordinate of the center of the circle, which is (4,5).
The equation of a circle is (x-h)2 + (y-k)2 = r2
Using the center coordinate, h=4 and k=5. Your radius is given as 2 units.
Inserting all the values into the equation you get,
(x-4)2 + (y-5)2 = 2^2
Simplifying you then get (x-4)2 + (y-5)2 = 4.