Question

What is the standard form of the equation of the circle in the graph

Answer 1

The standard equation of the circle is
`(x+3)^2+(y-1)^2=1^2`.

Explanation:

The standard equation of a circle is

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

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

From the given graph is clear that the center of the circle is (-3,1) and radius is 1 unit. So, the standard equation of the circle is

`(x-(-3))^2+(y-1)^2=1^2`

`(x+3)^2+(y-1)^2=1^2`

Therefore the standard equation of the circle is
`(x+3)^2+(y-1)^2=1^2`.

Answer 2

The standard form of the equation of a circle with center (h, k) and radius r is
(x-h)² + (y-k)² = r²

You have a circle centered at (-3, 1) with radius 1, so the standard form equation is
(x+3)² + (y-1)² = 1