Question

identify the center and the radius of the given circle

Answer 1

The general equation for a circle is as follows

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

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

Knowing this, we simply identify each part from the given circle:

$h=-2$

$y=4$$r=\sqrt[]{43}$

With all this, we can say the circle's center is at the point (-2,4) and it has a radius of lenght √43.

Thus, option B is correct.