Question

The area of a square is equal to that of a circle.
What is the circumference of the circle?
(1) The diagonal of the square is x inches.
(2) The side of the square is y inches

• A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
• B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
• C. BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
• D. Statements (1) and (2) TOGETHER are NOT sufficient

Answer 1

The correct option is D Statements (1) and (2) TOGETHER are NOT sufficient

Given: πr2=a2πr2=a2
(where r=r= radius of circle; a= side of square)
⇒r=aπ√⇒r=aπ
Hence, to find the circumference of circle,one should know 'a' the side of square.
(1) ⇒⇒ Side of square =diagonal2√=diagonal2
∴∴ Statement (1) alone is sufficient.
Also, as stated above, statement (1) alone is sufficient.