Answer:
Step-by-step explanation:
The center is the midpoint of the diameter.
Find the coordinated of the midpoint:
- x = (3 - 5)/2 = - 2/2 = - 1
- y = (-2 + 8)/2 = 6/2 = 3
The radius is the distance between one of the points on the circle and the center.
Use points (3, - 2) and ( - 1, 3) and find the distance:
- r² = (-1 - 3)² + (3 - (- 2))² = 16 + 25 = 41
The equation of the circle in standard form:
- (x - h)² + (y - k)² = r², where (h, k) is the center and r- radius
Substitute the values we got:
- (x - (-1))² + (y - 3)² = 41
- (x + 1)² + (y - 3)² = 41
