Question

Which equation is represented by the graph drawn in the accompanying diagram

(x+3)^2+(y+2)^2=4
(x+3)^2+(y+2)^2=2
(x-3)^2+(y-2)^2=4
(x-3)^2+(y-2)^2=2

Answer 1

(x -3)² + (y - 2)² = 4

Explanation:

Equation of circle:

(x - h)² + (y - k)² = r²

Here, (h,k) is the center of the circle and r is the radius of the circle.

(h, k) = (3 , 2) and r = 2

From the graph, the perpendicular distance from the point (3,0) at x-axis to the center gives the radius.

(x - 3)² + (y -2)² = 2²

(x - 3)² + (y -2)² = 4