Question

Enter the equation of the circle described below.

Center (-3, 0), radius 5

Answer 1

(X+3)^2 +y^2 =25

This is the correct answer

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Answer 2

`(x+3)^2 + y^2 =25`

Explanation:

The general equation of a circle has the form:

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

Where the point (h, k) is the center of the circle and r is the radius

In this case the center is (-3, 0) and the radius is
`r=5`

So
`h=-3\\k=0`

Finally the equation of the circle is:

`(x-(-3))^2 + (y-0)^2 =5^2`

`(x+3)^2 + y^2 =25`