Write the standard equation for the circle.

center (10, - 6), r = 6

Question options:

(x - 10) 2 + (y + 6) 2 = 36

(x + 10) 2 + (y - 6) 2 = 6

(x + 6) 2 + (y - 10) 2 = 36

(x - 10) 2 + (y + 6) 2 = 6

the first one

Step-by-step 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) = (10, - 6) and r = 6, hence

(x - 10) ² + (y - ( - 6)) ² = 6², that is

(x - 10) ² + (y + 6) ² = 36