Question

What is the equation of the circle with center (4, −4) that passes through the point (1, 0)?

Answer 1

(x - 4)² + (y + 4)² = 25

Explanation:

Equation:

(x - h)² + (y - k)² = r²

(h,k) = (4,-4)

Radius² = (-4-0)² + (4-1)² = 16 + 9

r² = 25

r = 5

Equation:

(x - 4)² + (y - (-4))² = 5²

(x - 4)² + (y + 4)² = 25