Question

Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)

Center (−3, 4),
radius 3

Answer 1

(x +3)² +(y -4)² = 9

Explanation:

You want the equation of a circle with center (-3, 4) and radius 3.

Circle equation

The equation of a circle with center (h, k) and radius r is ...

(x -h)² +(y -k)² = r²

Application

You have a circle with center (h, k) = (-3, 4) and radius r = 3. Using these values in the above equation, we find the circle equation to be ...

(x -(-3))² +(y -4)² = 3²

(x +3)² +(y -4)² = 9