Question

Someone please explain! . 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

Answer 1

(x − 1)2 + (y − 4)2 = 2

I took the test and got it right

Answer 2

`The\ equation\ of\ the\ circle:\\\\(x-a)^2+(y-b)^2=r^2\\\\where\ (a;\ b)-center;\ r-radius.\\-------------------\\\\(1;\ 4)\to a=1;\ b=4\\r=2\\\\\boxed{(x-1)^2+(y-4)^2=2^2}`