Question

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

Answer 1

Answer:

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

Step-by-step 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.