Question

the length and breadth of a rectangular field are 28m and 14m respectively. On taking breadth of rectangle as diameter. Semicircular portions are cut off from both ends find the area of remaining field.​

Answer 1

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