Question

The figures below are based on semicircles and squares. Find the perimeter and the area of each shape. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answer 1

Figure 1
 Perimeter
 3 * (1/2) * (6π) + (1/2) * (18π) = 18π cm
 Area
 3 * (1/2) * ((3 ^ 2) π) + (1/2) * ((9) ^ 2π) = 54π cm ^ 2
 Figure 2
 Perimeter
 6 * (1/2) * (4π) + 2 * (4) = (12π + 8) cm
 Area
 3 * (4 * 4) = 48 cm ^ 2
 Figure 3
 Perimeter
 2 * (1/2) * (6π) + (1/2) * (12π) + 2 * (6) = (12π + 12) cm
 Area
 2 * (6 * 6) + (1/2) * ((6) ^ 2π) = (18π + 72) cm ^ 2