Question

A square is inscribed in a circle. What is the difference between the area of the circle and that of the square?
I. \quad The diameter of the circle is \( 25\sqrt{2} \) cm.
II. \quad The side of the square is 25 cm.

• A. The question can be answered by one of the statements alone and not by the other.
• B. The question can be answered by using either statement alone.
• C. The question can be answered by using both the statements together, but cannot be answered by using either statement alone.
• D. The question cannot be answered even by using both statements together.

Hint:

Geometry of inscribed figures allows conversion between measurements.

Answer 1

The Correct Option is B

Either the diameter of the circle or the side of the square is enough to compute both areas and their difference because the inscribed square's diagonal = circle's diameter.