PSLE The outline of the shaded figure is formed by 3 identical small quarter circles, 2 identical large quarter circles and 3 straight lines. Take π = 3.14
- What is the radius of the large quarter circle?
- Find the perimeter of the shaded figure.
(a)
Length of AB
= Length of BC
= 16 ÷ 2
= 8 cm
Radius of the large quarter circle
= 16 + 8
= 24 cm
(b)
Circumference of each large quarter
=
14 x 2 x 3.14 x 24
= 37.68 cm
Circumference of each small quarter circle
=
14 x 2 x 3.14 x 16
= 25.12 cm
Perimeter of the shaded figure
= 2 x 37.68 + 3 x 25.12 + 2 x 8 + 16
= 75.36 + 75.36 + 32
= 182.72 cm
Answer(s): (a) 24 cm; (b) 182.72 cm