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

Mathematics

2 answers:

makkiz [27]4 years ago

4 0

Answer:

B. (x – 4)2 + (y – 5)2 = 4

Step-by-step explanation:

Leona [35]4 years ago

3 0

Answer:

Option B.

Step-by-step 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.

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