Answer:
14. x² + (y + 1)² = 156.25
15. (x + 4)² + (y + 5)² = 400
16. (x + 6)² + (y - 2)² = 1
Explanation:
14.
Center: (0, -1)
Circumference: 25π
circumference = 2πr
2πr = 25π
2r = 25
r = 12.5
(x - 0)² + (y - (-1))² = (12.5)²
x² + (y + 1)² = 156.25
15.
Center: (-4, -5)
Area: 400π
area = πr²
πr² = 400π
r² = 400
r = √400
r = 20
(x - (-4))² + (y - (-5))² = 20²
(x + 4)² + (y + 5)² = 400
16.
Center: (-6, 2)
Area: π
area = πr²
πr² = π
r² = 1
r = 1
(x - (-6))² + (y - 2)² = 1²
(x + 6)² + (y - 2)² = 1