What is the center and radius of the circle with equation (x - 2)2 + (y - 5)2 = 100?

Acenter (2, 5); radius = 10
Bcenter (-5, 2); radius = 10
Ccenter (-2, 5); radius = 100
Dcenter (2, -5); radius = 100

Verified Answer :

caylus

Hello,

Center (2,5)
Radius 10=√100

Answer A

(x - 2)² + (y - 5)² = 100 

(x - 2)² + (y - 5)² = 10²

By the standard equation:

(x - a)² + (y - b)² = r²     Where center = (a , b), r = radius.

Comparing with:

Centre (a , b) = (2 , 5)  radius, r = 10

A. center (2, 5); radius = 10