Question

Find an equation of the circle whose diameter has endpoints (2,2) and (-6,5) .

Answer 1

(x + 2)² + (y - 3.5)² = 18.25

Explanation:

diameter has endpoints (2,2) and (-6,5), center (h,k) = ((2 + -6)/2 , (2+5) / 2))

center (h,k): (-2 , 3.5)

diameter = √(-6-2)² + (5-2)² = √73

radius = √73/2

equation: (x - -2)² + (y - 3.5)² = (√73/2)² = 73/4

(x + 2)² + (y - 3.5)² = 18.25