The circle equation has a canonical form:
(x – x0) ² + (y – y0) ² = R²;
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 the point O (-2; 1), or x0 = -2, y0 = 1. The radius of this circle is R = 4 cm.
Substituting all these data into the formula, we get the equation:
(x – (-2)) ² + (y – 1) ² = 4²;
(x + 2) ² + (y – 1) ² = 16.
The resulting equality is the desired equation of the circle.
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