Question

(G.12, 1 point) Given: Circle P with center at (-6, 4) and a radius of v19. Identify the equation that could represent circle P. O A. (X+6)2 + (y + 4)2 = 19 o B. (X - 6)2 + (-4)2 = 19 C. (x + 6)2 + (y - 4)2 = 19 OD. (X-6)2 + (y + 4)2 = 19

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

center (-6, 4)

radius = √19

equation of the circle = ?

Step 02:

equation of a circle

(x - a)² + (y - b)² = r²

(x - (-6)) + (y - (4)) = (√19)²

(x + 6)² + (y - 4)² = 19

The answer is:

(x + 6)² + (y - 4)² = 19