Write down the equation of a circle centered at point C (-3, -5), R = 1

We use the well-known equation of the circle, which has the following canonical form:

(x – x0) ² + (y – y0) ² = R²;

Where: x0 is the abscissa of the center of the circle; y0 is the ordinate of the center of the circle; R is the radius of the circle.

By condition, the center of the circle is at point C (-3; -5), that is: x0 = -3, y0 = -5. The radius of the circle is R = 1.

Using these tasks, we get:

(x – (-3)) ² + (y – (-5)) ² = 1²;

Or:

(x + 3) ² + (y + 5) ² = 1.

This formula is the required equation for the circle.