Question

A circle with center (-1,-4) and radius 1.

Answer 1

The equation of the circle is given as
`(x + 1)^2 + (y + 4)^2 = 1`

How to get the equation

Given that the center of the circle is 1, we can substitute these values into the formula to find the equation of the circle:

The equation is in the standard form for the equation of a circle, which is given as :

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

Given that the center of the circle is (−1,−4) and the radius is 1, we can substitute these values into the formula to find the equation of the circle:

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

Then we have to expand this which would give us

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

Question

What is the equation of a circle center (-1,-4) and radius 1.