The figure shows a rectangular park which consists of 1 exercise in a semi-circle shape and a pond. 4 quarter circles make up the shape of the pond. The length and breadth of the rectangle are 88 m and 54 m respectively.
- Find the perimeter of the pond.
- Find the area of the shaded part. (Take π = 3.14).
(a)
Perimeter of the pond = Circumference of 1 circle + 88
= 3.14 x 44 + 88
= 138.16 + 88
= 226.16 m
(b)
Area of the shaded region = Area of the rectangle - Barbeque area - Pond area
= 88 x 54 -
12 x 3.14 x 9 x 9 - (
12 x 3.14 x 22 x 22 + 44 x 22 + 2 ( (22 x 22) -
14 x 3.14 x 22 x 22))
= 4752 - 127.17 - (759.88 + 968 + 2 ( - 379.94))
= 4752 - 127.17 - 968
= 3656.83 m
2 Answer(s): (a) 226.16 m; (b) 3656.83 m
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