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

Answer:

  (x +3)² +(y -4)² = 9

Step-by-step 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