Q: In the given figure ABCD is a square with area 576 sqft. Find the area of the circle with center O.
(Target Audience: GMAT)
A. 20π
B. 50π
C. 75π
D. 144π
E. 576π
Answer: Option D
Explanation: Generic Way
Area of square = (side)2=576
Side of square, AB = 576=24
Since side of square is equal to the diameter of the circle. Therefore,
Diameter of circle = 24
Thus radius of circle = diameter2= 242=12
Therefore, Area of circle = r2= 122=144, 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:
Option E: 576 x 3 (Approx. value of Pi) -> Eliminated
OPTION D