s55day wrote:

Does the area of square S equal the area of circle C?

(1) The diameter of circle C equals the length of a side of square S.

(2) The ratio of the area of circle C to the area of square S is less than 1:1.

Question stem:- Does the area of square S equal the area of circle C?

St1:- The diameter of circle C equals the length of a side of square S.

Or, 2r=a

So, Area of circle=\(\pi*r^2\)=\(3.14r^2\)(Approx.)

Area of square=\(a^2=(2r)^2\)=\(4r^2\)

Between \(3.14r^2\) and \(4r^2\), \(4r^2\) is greater.

Therefore, area of square S is greater than circle C.

Sufficient.

St2:- The ratio of the area of circle C to the area of square S is less than 1:1

Or, \(\frac{\pi*r^2}{a^2} < 1\)

Or, \(\pi*r^2 < a^2\)

Or, area of square S is greater than circle C.

Sufficient.

Ans. (D)

_________________

Regards,

PKN

Rise above the storm, you will find the sunshine