The shaded figure is made up of 6 big quarter arcs, 6 small quarter arcs and 2 straight lines. Find the area of the shaded part. (Take $\pi = \frac{22}{7}$) Ans : ___

1. Identify the radii of the big and small quarter arcs

From the grid, the side of one square is $7\text{ cm}$.
Radius of small quarter arc, $r = 7\text{ cm}$.
Radius of big quarter arc, $R = 2 \times 7 = 14\text{ cm}$.

2. Calculate the total area of the 6 big quarter circles

Area of 1 big quarter circle = $\frac{1}{4} \times \pi \times R^2 = \frac{1}{4} \times \frac{22}{7} \times 14^2 = 154\text{ cm}^2$.
Area of 6 big quarter circles = $6 \times 154 = 924\text{ cm}^2$.

3. Calculate the total area of the 6 small quarter circles

Area of 1 small quarter circle = $\frac{1}{4} \times \pi \times r^2 = \frac{1}{4} \times \frac{22}{7} \times 7^2 = 38.5\text{ cm}^2$.
Area of 6 small quarter circles = $6 \times 38.5 = 231\text{ cm}^2$.

4. Calculate the total area of the shaded figure

Total area = Area of 6 big quarter circles + Area of 6 small quarter circles
Total area = $924 + 231 = 1155\text{ cm}^2$.
(Note: The straight lines do not enclose any additional area on their own, they just connect the arcs).