Question

Which equation represents a circle with the same center as the circle shown but with a radius of 2 units

Answer 1

B. (x – 4)2 + (y – 5)2 = 4

Explanation:

Answer 2

Option B.

Explanation:

Consider the below figure attached with this question.

From the below figure it is clear that the center of the given circle is (4,5).

The standard form of a circle is

`(x-h)^2+(y-k)^2=r^2`

where, (h,k) is center of the circle and r is radius.

We need to find the equation of a circle which represents the same center as the circle shown but with a radius of 2 units.

Substitute h=4, k=5 and r=2 in the above equation.

`(x-4)^2+(y-5)^2=(2)^2`

`(x-4)^2+(y-5)^2=4`

The required equation is
`(x-4)^2+(y-5)^2=4`.

Therefore, the correct option is B.