Question

The equation of the circle with center (3, -2) and radius 7 is
(X blank) + (y blank)

Answer 1

`(x - 3)^(2) + { (y + 2)^(2) = 49`

Explanation:

Center of the circle = (3, - 2) = (h, k)

Therefore, h = 3, k = - 2

Radius r = 7

Equation of circle in centre radius form is given as:

`(x - h)^(2) + {(y - k)}^(2) = {r}^(2) \\ \therefore \: (x - 3)^(2) + { \{y - ( - 2) \}}^(2) = {7}^(2) \\ \red{ \boxed{ \bold{\therefore \: (x - 3)^(2) + (y + 2)^(2) = 49}}}`

Answer 2

Explanation:

(x-3)^2 + (y+2)^2 = 7^2