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Please help meee!!!!

A circle has its center at (1, 4) and a radius of 2 units. What is the equation of the circle?

(x − 1)2 + (y − 4)2 = 4

(x + 2)2 + (y + 4)2 = 2

(x + 1)2 + (y − 4)2 = 4

(x − 1)2 + (y − 4)2 = 2

Respuesta :

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:

A. [tex](x-1)^2+(y-4)^2=4[/tex]

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:

[tex](x-h)^2+(y-k)^2=r^2[/tex], 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,

[tex](x-1)^2+(y-4)^2=2^2[/tex]

[tex](x-1)^2+(y-4)^2=4[/tex]

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