Correct option (C) 32
Explanation :
Let P(h, k) be the centre and Q(1, 4) be the midpoint of AB (see Fig) Since AB is a horizontal segment, it follows that PQ is vertical. Therefore, h = 1 and h 4k + 7 = 0 ⇒ k =2. Hence, the centre of the circle is (1, 2). It is clear that BC = 2PQ which implies that
BC = 2(2) = 4
Now AB = 8 and BC = 4 which implies that
Area of ABCD = 8 x 4 = 32