Question

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

Answer 1

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

Explanation:

APEXXXX

Answer 2

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

Explanation:

So the standard form of a circle is
`(x-h)^2+(y-k)^2=r^2` where (h,k) is the center and r is the radius.

You are given (h,k)=(1,4) and r=2.

So we are going to plug in 1 for h, 4 for k, and 2 for r:

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

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

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