Respuesta :

mhanifa

Answer:

  • (x + 1)² + (y - 2)² = 25

Step-by-step explanation:

The center is given:

  • (-1, 2)

Find the radius, the distance from the center to a point (2, 6)

  • r² = (2 - (-1))² + (6 - 2)² = 3² + 4² = 25
  • r = √25 = 5

Use circle formula:

  • (x - h)² + (y - k)² = r²
  • (x - (-1))² + (y - 2)² = 5²
  • (x + 1)² + (y - 2)² = 25