Answer:
The equation of the circle is (x - 3)² + (y + 2)² = 9
Explanation:
The form of the equation of a circle is (x - h)² + (y - k)² = r², where
- h is the x-coordinate center of the circle
- k is the y-coordinate of the center of the circle
- r is the radius of the circle
∵ The center of a circle is (3, -2)
∴ x-coordinate of the center is 3
∴ y-coordinate of the center is -2
∴ h = 3 and k = -2
∵ The radius of the circle is 3
∴ r = 3
→ Substitute them in the form of the equation above
∵ (x - 3)² + (y - -2)² = (3)²
∴ (x - 3)² + (y + 2)² = 9
∴ The equation of the circle is (x - 3)² + (y + 2)² = 9