Find the center and radius of circle and graph it (x-4)^(2) +( y +2)^(2) = 9

Question

Find the center and radius of circle and graph it


`(x-4)^(2) +( y +2)^(2) = 9`

Answer 1

centre = (4,-2)

radius = 3

Explanation:

The centre-radius form of the circle equation is in the format

(x – h)² + (y – k)² = r²,

with the centre being at the point (h, k) and the radius being "r"

Given in the question an expression which can be write as

(x – 4)² + (y – (-2))² = 3²

So, by translating we can say that

centre = (4,-2)

and

radius = 3