The figure shows 2 quarter circles and a rectangle. The radius of the big quarter circle is 32 cm. The radius of the small quarter circle is 16 cm. Find the difference in the areas between the two shaded parts R and S. (Take π = 3.14 and give your answer correct to 1 decimal place.)
Area of the big quadrant
= ¹₄ x 3.14 x 32 x 32
= 803.84 cm²

Area of the small quadrant
= ¹₄ x 3.14 x 16 x 16
= 200.96 cm²

Area of the rectangle
= 32 x 16
= 512 cm²

Difference in the areas between the two shaded parts R and S
= Area of the big quadrant - (Area of the small quadrant + Area of the rectangle)
= 803.84 - (200.96 + 512)
= 803.84 - 712.96
= 90.88 
≈ 90.9 cm² (Correct to 1 decimal place)

Answer(s): 90.9 cm²