Question

Which equation represents circle W?

Answer 1

Answer B

Explanation:

Centre of Circle (6,-4)

Radius = 4

Substitute in the Equation attached

`(x-h)^(2)+(y-k)^(2) =r^(2)`

`(x-6)^(2) +(y-(-4))^(2) =4^(2)`

`(x-6)^(2) +(y+4)^(2) =16`

Answer 2

B (x - 6)² + (y + 4)² = 16

Explanation:

From inspection of the graph:

• center of the circle = (6, -4)
• radius = 4 units

General equation of a circle: (x - a)² + (y - b)² = r²

(where (a, b) is the center and r is the radius)

Therefore, substituting the given values into the equation:

equation of the circle: (x - 6)² + (y + 4)² = 16