The figure shows a rectangular park which consists of 1 playground 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 68 m and 50 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 + 68
= 3.14 x 34 + 68
= 106.76 + 68
= 174.76 m
(b)
Area of the shaded region = Area of the rectangle - Barbeque area - Pond area
= 68 x 50 -
12 x 3.14 x 13 x 13 - (
12 x 3.14 x 17 x 17 + 34 x 17 + 2 ( (17 x 17) -
14 x 3.14 x 17 x 17))
= 3400 - 265.33 - (453.73 + 578 + 2 ( - 226.865))
= 3400 - 265.33 - 578
= 2556.67 m
2 Answer(s): (a) 174.76 m; (b) 2556.67 m
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