The figure shows a circle and 6 identical quarter circles. The radius of each quarter circle is 8 cm. Line XY passes through the centre of the circle. (Take $\pi = 3.14$.)

1. Find the radius of the large circle

The diameter of the large circle is made up of the bases of 3 quarter circles.
Diameter $= 3 \times 8 = 24\text{ cm}$
Radius of large circle $= 24 \div 2 = 12\text{ cm}$

2. Calculate the area of the large circle

$\text{Area of large circle} = \pi \times 12^2 = 144 \times 3.14 = 452.16\text{ cm}^2$

3. Calculate the total area of the 6 quarter circles

$\text{Area of 6 quarter circles} = 6 \times \frac{1}{4} \times \pi \times 8^2 = 1.5 \times 64 \times 3.14 = 96 \times 3.14 = 301.44\text{ cm}^2$

4. Find the area of the shaded part

$\text{Shaded area} = \text{Area of large circle} - \text{Area of 6 quarter circles}$
$\text{Shaded area} = 452.16 - 301.44 = 150.72\text{ cm}^2$