Question

Enter the equation of the circle with the given center and radius. Center: (−2, −5); radius= 1

Answer 1

`(x + 2)^2 + (y + 5)^2 = 1`

Explanation:

Equation of a circle:

The equation of a circle with center
`(x_0,y_0)` and radius r is given by:

`(x - x_0)^2 + (y - y_0)^2 = r^2`

Center: (−2, −5); radius= 1

This means that
`x_0 = -2, y_0 = -5, r = 1`. So

`(x - x_0)^2 + (y - y_0)^2 = r^2`

`(x - (-2))^2 + (y - (-5))^2 = 1^2`

`(x + 2)^2 + (y + 5)^2 = 1`

This is the equation of the circle.