The figure above represents a circular window with centre C. How long

When the curtain rod is 8 inches above the centre, and lines are drawn from centre to ends of the rod, we will have 2 congruent right angled triangles, each with height 8 inches whose hypotenuse is equal to the radius of the circle and base, half the length of the curtain rod.

So if we know the radius, we can use pythagoras to calculate the length of the rod.

So essentially, we just need to know if we can calculate the radius of the circle.

Statement (1) gives us the length of the rod when height is 12 inches from centre. Using this length and height, we can calculate the radius of the circle.

(1) is sufficient

Statement (2) directly gives us the radius of the circle

(2) is sufficient

IMO, Answer is (D)

Hit Kudos if this helped!