Question

Write an equation for the circle

Answer 1

Given:

The graph of a circle.

To find:

The equation of the given circle.

Solution:

The standard form of a circle is

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

Where, (h,k) is vertex and r is the radius.

From the given graph it is clear that the radius of the circle is 4 units and the center of the circle is (-2,2).

Putting
`h=-2, k=2` and
`r=4` in (i), we get

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

`(x+2)^2+(y-2)^2=16`

Therefore, the equation of the circle is
`(x+2)^2+(y-2)^2=16`.