Question

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

Answer 1

radius = 0 + 2 . here is ur ans

Answer 2

The correct option is B.

Step-by-step explanation:

Let as consider the below figure attached with this question.

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

Standard form of a circle:

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

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.

#Learn more:

Find the equations of the circles of radius 5 whose centers lie on the x-axis and pass through the point (2,3).

https://brainly.in/question/37191