Question

Which equation is correct for the circle shown on the graph below?

(X+3)²+(y-6)² = 4
(x-3)²+(y+6)² = 4
(X+3)² + (y-6)² = 2
(X-3)²+(y-6)² = 4

Answer 1

A

Explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 3, 6 ) and r = 2 , then

(x - (- 3) )² + (y - 6)² = 2² , that is

(x + 3)² + (y - 6)² = 4