Explanation**: Generic Way**

Area of square = (side)2=576

Side of square, AB =24

Since side of square is equal to the diameter of the circle. Therefore,

Diameter of circle = 24

Thus radius of circle = diameter/2= 24/2=12

Therefore, Area of circle =**π**r2=144**π**

** **

**OPTION D**

Explanation**: HolaMaven Way**

In the figure, circle covers almost complete area of square. Thus area of circle should be very close to 576. Working on options

Option A: 20 x 3 (Approx. value of Pi) -> Eliminated

Option B: 50 x 3 (Approx. value of Pi) -> Eliminated

Option C: 75 x 3 (Approx. value of Pi) -> Eliminated

Option D: 144 x 3 (Approx. value of Pi) -> Near to square area

Option E: 576 x 3 (Approx. value of Pi) -> Eliminated

**OPTION D is the correct answer**