What is the area of the shaded region in sq. cm?
In the given figure, each side of the square is 2 m long. Four semicircles are drawn inside the square taking each of the sides as diameter. Thus a flower of four petals is formed which is shown by shading. What is the area of the shaded region in sq. cm?
Answer: (1) 2 pai – 4
The side of the square = 2 cm = diameter of the circle
Then radius of the circles = 2/2 = 1 cm
According to the question, In the figure
Now, the area of circle = Pai x 1 x 1
Then area of the quarter circle = Pai/4
The are of the triangle = 1/2
Thus, the area of the half leaf = Pai/4 – 1/2
Therefore, the area of four leaves = 8 (Pai/4 – 1/2)
2 pai – 4
Hence, the correct answer is option (1) 2 pai – 4.