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 76 m and 26 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 + 76
= 3.14 x 38 + 76
= 119.32 + 76
= 195.32 m
(b)
Area of the shaded region = Area of the rectangle - Barbeque area - Pond area
= 76 x 26 -
12 x 3.14 x 16 x 16 - (
12 x 3.14 x 19 x 19 + 38 x 19 + 2 ( (19 x 19) -
14 x 3.14 x 19 x 19))
= 1976 - 401.92 - (566.77 + 722 + 2 ( - 283.385))
= 1976 - 401.92 - 722
= 852.08 m
2 Answer(s): (a) 195.32 m; (b) 852.08 m
2