# 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?

- 2π-4
- 4-2π
- 4-π
- π-4

**Answer: (1) 2 pai – 4 **

**Solution:-**

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.