Answer:
Equation of circle:
(x-10)² + (y+8)² = 36
Step-by-step explanation:
Given that,
Center of the circle is (10, -8)
and diameter = 12
We know that radius is half of the diameter.
So, radius (r) = = 6
Now we have standard form of circle :
(x - h)² + (y - k)² = r²
Where (h,k) is the center of circle and r is the radius.
Now put the value of h, k and r in circle's equation
h =10
k = -8
r = 6
Equation of circle:
(x-10)² + (y+8)² = 36
That's the final answer.
I hope it will help you.