Answer:
Step-by-step explanation:
Finding the center.
The general formula for a circle is
(x - a)^2 + (y - b)^2 = r^2
The center is a and b. The center is marked as (6,5)
So the equation becomes
(x - 6)^2 + (y - 5)^2 = r^2
Finding the radius
The radius is found by calculating the distance between the center and any point on the circumference.
The point given on the circumference is (8,8)
x1 = 8
x2 = 6
y1 = 8
y2 = 5
r^2 = (8 - 6)^2 + (8 - 5)^2
r^2 = 2^2 + 3^2
r^2 = 4 + 9
r^2 = 13
Answer
(x - 6)^2 + (y - 5)^2 = 13
