Answer:
 A) Center ( 2 , 5 ) ; radius = 10 .
Step-by-step explanation:
Given  :  (x - 2)² + (y - 5)² = 100.
To find : What is the center and radius of the circle with equation.
Solution : We have given  (x - 2)² + (y - 5)² = 100.
Standard form of circle :  (x - h)² + (y - k)² = r².
Where, center = ( h ,k )  , r = radius .
On comparing  (x - 2)² + (y - 5)² = 100 with  (x - h)² + (y - k)² = r².
We can write (x - 2)² + (y - 5)² = 10².
h = 2 , k  = 5 , r = 10 .
Center ( 2 , 5 ) ; radius = 10 .
Therefore, A) Center ( 2 , 5 ) ; radius = 10 .