Question

Find the area of the shaded field shown in figure.

Answer 1

In a figure, join ED

From figure, radius of semi-circle DEF, r = 6 – 4 = 2 m

Now, area of rectangle ABCD = BC × AB = 8 × 4 = 32 cm²

And area of semi-circle DFE = `(π"r"^2)/2 = π/2 (2)^2` = 2π m²

∴ Area of shaded region = Area of rectangle ABCD + Area of semi-circle DFE

= (32 + 2π) m²