Question

WILL GET BRAINLIEST IF EXPLAINED AND CORRECT

Answer 1

Answer:

It is D. (x + 1)^2 + (y - 3)^2 = 16.

Step-by-step explanation:

The general equation of a circle is

(x - h)^2 + (y - k)^2 = r^2  where  the center is (h, k) and the radius is r.

So substituting the given values the required equation is:

(x + 1)^2 + (y - 3)^2 = 4^2.

Answer 2

Answer:

D. $(x+1)^2+(y-3)^2=16$

Step-by-step explanation:

We are asked to write equation of a circle whose center is at point $(-1,3)$ and whose radius is 4 units.

We know that equation of a circle is standard form is in format $(x-h)^2+(y-k)^2=r^2$, where $(h,k)$ is the center of circle.

Upon substituting $h=-1$, $k=3$ and $r=4$ in the standard form of circle, we will get:

$(x-(-1))^2+(y-3)^2=4^2$

$(x+1)^2+(y-3)^2=16$

Therefore, our required equation would be $(x+1)^2+(y-3)^2=16$ and option D is the correct choice.