Composite Area and Perimeter of a Playground Design
Composite Area and Perimeter of a Playground Design
Secondary 1
The diagram below shows the design of a playground. The design is formed by an un-shaded semi-circle with diameter \(DE=8\) m enclosed within a trapezium \(ABCD\). It is given that \(AF=6\) m, \(BC=12\) m and \(CD=5\) m.
Using \(\pi \) as \(\frac{22}{7}\), find the
- area of the shaded region.
- perimeter of the shaded region, given that the length of \(AB\) is \(7.8\) m.
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Answer:(a) \(49.9\text{ m}^2\) (3 s.f.) (b) \(47.4\text{ m}\) (3 s.f.)
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