What is the area of the circle in the figure?

Each statement alone is sufficient- (ans: (d) area of the circle = pi (r^2), where r is the radius of circle. take (1), length of arc = 2 pi r (angle subtended by the arc) / 360 or 5 = 2 pi r (45)/360 or pi r = 20 or r = 20 x 7 / 22 with this value of radius r, we can find the area of the circle, so (1) is sufficient. now take (2), since chord subtends a right angle, so using pythagoras theorem we get, 9^2 = r^2 + r^2 or r = 9/square root (2) with this value of radius r, we can find the area of the circle, so (2) is also sufficient hence both (1) & (2) are independently sufficient, hence (d) is the answer.)