Write the equation of a circle centered at the origin, R = √ 71

The circle equation has a canonical form:

(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 the origin of the coordinate system, which means: x0 = 0, y0 = 0 or O (0; 0). The radius is known: R = √71.

Substituting the data into the formula, we get:

(x – 0) ² + (y – 0) ² = (√71) ²;

x² + y² = 71.

This is the desired equation of the circle.