Question

The length and breadth of a rectangular piece of paper are 28 cm and 14 cm respectively. A semi-circular portion is cut off from the breadth’s side and a semicircular portion is added on length’s side, as shown in Fig. 6. Find the area of the shaded region. (Use $\pi = \frac{22}{7}$)

Answer 1

total area of shaded region
${623cm}^{2}$

Answer 2

Answer:

Area of the shaded region = 623 cm²

Explanation:

Area of shaded region = area of upper semi circle

                                      + area of rectangle - area of side semi circle

1- getting area of upper semi circle:

Area of upper semi circle = 0.5 * pi * (r)²

Area of upper semi circle = 0.5 * (22/7) * (14)² = 308 cm²

2- getting area of rectangle (including the side semi circle):

Area of rectangle = length * width

Area of rectangle = 28 * 14 = 392 cm²

3- getting the area of the side semi circle:

Area of side semi circle = 0.5 * pi * (r)²

Area of side semi circle = 0.5 * (22/7) * (7)² = 77 cm²

4- getting area of shaded region:

Area of shaded region = 308 + 392 - 77 = 623 cm²

Hope this helps :)