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# Question

# Answer

area of the shaded part = (3.14 x 6 x 6) – (3.14 x 2 x 2 x 3) – [4 x (12 – 2 – 2)] = 43.36

Ans : 43.36 sq cm.

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Procedures to find the area of the shaded part:

1) Find the area of the large circle.

2) Find the area of the rectangle.

3) Find the area of the **6 semi-circles.**4) shaded area = area of large circle – area of

**6 semi-circles**– area of rectangle

Calculations:

Area of large circle: 3.14 x 6 x 6 = 113.04cm²

Area of rectangle: 4 x **(4 + 4)** = 4 x **8** = 32cm²*(Note: length of rectangle is equal to 2 x diameter of the small semi-circles)*Area of 6 semi-circles: (3.14 x 2 x 2) x 3 = 37.68cm²

*(Note: 6 semi-circles is equal to 3 full circles)*

**Therefore, area of shaded part is 113.04 – 32 – 37.68 = 43.36cm²**

This is a Geometry question.

shaded | Small Circle | Rectangle | Big Circle | |

Radius | 2 | 6 | ||

Area | 43.36 | 37.68 | 32 | 113.04 |

3.14 x 6 x 6 = 113.04

3.14 x 2 x 2 x 3 = 37.68

8 x 4 = 32

113.04 – 37.68 – 32 = 43.36 cm^2

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