In a circle, the ratio of the areas of two distinct minor sectors is 1 : 4. Then, the ratio of the angles at the centre for those minor sectors is .............

(a) 1 : 4 (a) 4 : 1 (a) 1 :2 (d) 2 : 1

I think the answer is 4 : 1 but it is given that the answer is 1:4 , so give the reason as well..., please answer fast....