Write the equation for a circle centered at point A (-3; 4) with a radius of 5 cm.

The circle equation has the following writing formula:

(x – x0) ² + (y – y0) ² = R²;

In this formula:

x0 – abscissa of the center of the circle;

y0 is the ordinate of the center of the circle;

R is the size of the radius of the circle.

By condition, the center of the circle is at point A (-3; 4), which means: x0 = -3, y0 = 4. The radius of the circle: R = 5 cm.

Substituting all the data into the formula describing the equation of the circle, we get:

(x – (-3)) ² + (y – 4) ² = 5²;

(x + 3) ² + (y – 4) ² = 25.

This formula is the equation of a given circle.