Bunuel wrote:

MichelleSavina wrote:

Q) What is the area of the innermost circle which is inscribed in the square?

(1) Area of the ABCD is square 49.

(2) Circumference of the outermost circle is 7Πcm.

What is the area of the innermost circle which is inscribed in the square?Knowing the length of a side of a square is sufficient to calculate the radius of the inscribed or circumscribed circle (the length of a side defines the radius of the inscribed or circumscribed circle) and vise-versa: knowing the length of a radius is sufficient to to calculate the side of the inscribed or circumscribed square.

(1) Area of the ABCD is square 49 --> we can get the length of a side and then going step by step get the radius of the innermost circle to calculate the area. Sufficient.

(2) Circumference of the outermost circle is 7Πcm --> we can get the radius of this circle and then going step by step get the radius of the innermost circle to calculate the area. Sufficient.

Answer: D.

Also , as per gmat quant book by bunuel .... We can find out the area of circle inscribed in a square as per the points mentioned below.

• If a circle is circumscribed around a square, the area of the circle is (about 1.57) times the area of the square.

• If a circle is inscribed in the square, the area of the circle is (about 0.79) times the area of the square.