Question

Determine the equation of the circle with center (-6, -2 containing the point (-10, -9).

Answer 1

Answer:

x² + 12x + y² + 4y - 25 = 0

Step-by-step explanation:

Equation of a circle

• (x - h)² + (y - k)² = r²
• (h, k) = coordinates of circle
• (x, y) = coordinates of point on circle
• r = radius

Finding r

• (-10 + 6)² + (-9 + 2)² = r²
• r² = 16 + 49
• r = √65

Making the equation

• (x + 6)² + (y + 2)² = (√65)²
• x² + 12x + 36 + y² + 4y + 4 = 65
• x² + 12x + y² + 4y - 25 = 0