Answer:
- The center is: (-1/3, 0), radius is 5/3
Step-by-step explanation:
The equation of the circle:
- (x - h)² + (y - k)² = r², where (h, k) is the center, r is the radius
Convert the given equation into the standard form:
- 3x² + 3y² + 2x - 8 = 0
- 9x² + 6x + 9y² = 24
- (3x)² + 2*1*3x + 1 + 9y² = 25
- (3x + 1)² + 9y² = 5²
- 9(x + 1/3)² + 9y² = 9(5/3)²
- (x + 1/3)² + y² = (5/3)²
We have:
- h = -1/3, k = 0 and r = 5/3
The center is: (-1/3, 0), radius is: 5/3
