Write an equation of a circle whose center is (-5,4) and whose diameter is 12

(x + 5) ² + (y - 4) ² = 36

Step-by-step explanation:

The equation of a circle in standard form id

(x - h) ² + (y - k) ² = r²

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

Here (h, k) = ( - 5, 4) and r = 12 : 2 = 6, thus

(x - ( - 5)) ² + (y - 4) ² = 6², that is

(x + 5) ² + (y - 4) ² = 36