The equation of a circle centered at the origin (0,0) with radius r is given by the formula x² + y² = r².

Given that the radius of the circle is 6, we substitute r = 6 into the formula.

So, the equation of the circle is x² + y² = 6², which simplifies to x² + y² = 36.

Question

The equation of a circle centered at the origin (0,0) with radius r is given by the formula x² + y² = r².

Given that the radius of the circle is 6, we substitute r = 6 into the formula.

So, the equation of the circle is x² + y² = 6², which simplifies to x² + y² = 36.

Knowee AI · Accepted Answer

The equation of a circle centered at the origin (0,0) with radius r is given by the formula x² + y² = r².

Given that the radius of the circle is 6, we substitute r = 6 into the formula.

So, the equation of the circle is x² + y² = 6², which simplifies to x² + y² = 36.

This circle is centered at the origin, and the length of its radius is 6. What is the circle's equation?