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

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

B. center (-5, 2); radius = 10

C. center (-2, 5); radius = 100

D. center (2, - 5); radius = 100

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