Question

What is the center and radius of the circle described by the equation (x + 4)² + (y - 6)² = 25?

Answer 1

centre = ( -6 , 4 ) and radius = 6

Explanation:

(x-a)² + (y-b)² = r²

where (a , b ) represents the centre and r the radius.

compare the standard form to (x+6)² + (y−4)² = 36

=> a = -6, b=4 and r =
`√(36)` = 6

=> centre = (-6, 4) and radius = 6