Answer:
Step-by-step explanation:
Midpoint of the diameter is the center.
Use midpoint formula to determine the coordinates:
- x = (2 - 4)/2 = -1
- y = (5 + 13)/2 = 9
Find the radius using the midpoint and one of the endpoints and the distance formula:
- r = [tex]\sqrt{(-1 - 2)^2 + (9 - 5)^2} = \sqrt{9+16} = \sqrt{25} = 5[/tex]
Use the equation of the circle:
- (x - (-1))² + (y - 9)² = 5²
- (x + 1)² + (y - 9)² = 25
Correct choice is 4
