Question

MULTIPLE CHOICE HELP ASAP! Brainliest for correct answer.

Answer 1

Answer:

An equation of the circle with centre (-2,1) and radius 3 is $\mathbf{(x+2)^2+(x-1)^2=9}$

Option D is correct.

Step-by-step explanation:

Looking at the figure we get centre of circle C (-2,1) and radius of circle r = 3

The equation of circle is of form: $(x-h)^2+(x-k)^2=r^2$ where (h,k) is centre and r is radius.

We have centre C (-2,1) so, we have h = -2 and k = 1

We have radius = 3 so, r = 3

Putting values in the equation and finding the required equation:

$(x-h)^2+(x-k)^2=r^2\\(x-(-2))^2+(x-1)^2=(3)^2\\(x+2)^2+(x-1)^2=9$

So,  an equation of the circle with centre (-2,1) and radius 3 is $\mathbf{(x+2)^2+(x-1)^2=9}$

Option D is correct.