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

Respuesta :

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
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