In the given figure ABCD is a square with area 576 sqft. Find the area of the circle with center O.

A) 20π
B) 50 π
C) 75 π
D) 144 π
E) 576 π

Answer: Option D

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 =πr2=144π

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