Question

The area of the shaded field shown in the given figure is:

• A. $(4\pi +32){cm}^2.$
• B. $(2\pi +32){cm}^2.$
• C. $(2\pi +16){cm}^2.$
• D. $(4\pi +24){cm}^2.$

Answer 1

Answer: (B)

$(2\pi +32){cm}^2.$

Area of rectangle $=8\times 4=32$ cm${}^2$ ......(1)

Radius of the semi circle $=2$ cm

Area of semi circle$=\frac{\pi \times r^2}{2}$

$=\frac{\pi \times 4}{2}$

$=2\pi$ .........(2)

Adding (1) and (2), we get

Therefore, total Area $=(2\pi +32)$ cm${}^2$