The figure shows 2 quarter circles and a rectangle. The radius of the big quarter circle is 14 m. The radius of the small quarter circle is 7 m. Find the difference in the areas between the two shaded parts X and Y. (Take π = 3.14 and give your answer correct to 1 decimal place.)
Area of the big quadrant
= ¹₄ x 3.14 x 14 x 14
= 153.86 m²

Area of the small quadrant
= ¹₄ x 3.14 x 7 x 7
= 38.465 m²

Area of the rectangle
= 14 x 7
= 98 m²

Difference in the areas between the two shaded parts X and Y
= Area of the big quadrant - (Area of the small quadrant + Area of the rectangle)
= 153.86 - (38.465 + 98)
= 153.86 - 136.465
= 17.395 
≈ 17.4 m² (Correct to 1 decimal place)

Answer(s): 17.4 m²