Question

Please help meee!!!!

Answer 1

The equation of a circle is just (x-h)^2+(y-k)^2= r^2
in place of h you just put the x-coordinate of the center
in place of k you put the y-coordinate of the center
and in place of r you put the radius
So your answer is just (x-1)^2+(y-4)^2=4 (first choice)

Answer 2

Answer:

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

Step-by-step explanation:

We have been given that a circle has its center at (1, 4) and a radius of 2 units. We are asked to write the equation of the given circle.

Since we know that the center-radius form of circle equation is:

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

Upon substituting our given values in above format we will get,

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

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

Therefore, the equation of our given circle is $(x-1)^2+(y-4)^2=4$ and option A is the correct choice.