Question

Identify the center and radius of the following circle (x-4)^2 +y^2=25

Answer 1

centre = (4, 0 ), radius = 5

Explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 4)² + y² = 25 ← is in standard form

with (h, k) = (4, 0) and r =
`√(25)` = 5

Thus centre = (4, 0) and radius = 5