The figure shows a rectangular park which consists of 1 pavilion 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 60 m and 35 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 + 60
= 3.14 x 30 + 60
= 94.2 + 60
= 154.2 m
(b)
Area of the shaded region = Area of the rectangle - Barbeque area - Pond area
= 60 x 35 -
12 x 3.14 x 16 x 16 - (
12 x 3.14 x 15 x 15 + 30 x 15 + 2 ( (15 x 15) -
14 x 3.14 x 15 x 15))
= 2100 - 401.92 - (353.25 + 450 + 2 ( - 176.625))
= 2100 - 401.92 - 450
= 1248.08 m
2 Answer(s): (a) 154.2 m; (b) 1248.08 m
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