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 64 m and 32 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 + 64
= 3.14 x 32 + 64
= 100.48 + 64
= 164.48 m
(b)
Area of the shaded region = Area of the rectangle - Barbeque area - Pond area
= 64 x 32 -
12 x 3.14 x 17 x 17 - (
12 x 3.14 x 16 x 16 + 32 x 16 + 2 ( (16 x 16) -
14 x 3.14 x 16 x 16))
= 2048 - 453.73 - (401.92 + 512 + 2 ( - 200.96))
= 2048 - 453.73 - 512
= 1082.27 m
2 Answer(s): (a) 164.48 m; (b) 1082.27 m
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