53.1k views
1 vote
Determine the center and radil (x+6)²+(y-3)²=36

User Kadi
by
8.5k points

1 Answer

6 votes

Final answer:

The center of the circle is (-6, 3) and the radius is 6 units, derived from comparing the given equation to the standard form of a circle's equation.

Step-by-step explanation:

The equation provided (x+6)²+(y-3)²=36 represents a circle in standard form. The general form for a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

For the given equation, we compare it to the general form and can see that the center (h, k) of the circle is (-6, 3) and the square of the radius r² is 36. Therefore, the radius r is 6, which is the square root of 36.

User Siefix
by
7.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories