eshwarjayanth wrote:Is the perimeter of square S greater than the circumference of circle C ?
(1) S is inscribed in circle C.
(2) The ratio of the area of S to the area of C is 2:pi.
Both statements are sufficient to establish a relation between the length of the radius of the circle and length of each side of the square. Hence, both statements are sufficient to answer the question.
If anyone need further justification...
Let us assume the length of the radius of the circle is r and length of each side of the square is s.
Statement 1: As S is inscribed inside C, diameter of C = diagonal of S
Hence, 2r = (√2)*s
Therefore, circumference of C = 2πr = π*(√2)*s > 4s = perimeter of S
Sufficient
Statement 2: πr²/s² = π/2 ---> r = s/√2 ---> 2r = (√2)*s
Rest is same as analysis of statement 1.
Sufficient
The correct answer is D.
