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
= 30 ÷ 2
= 15 cm
Radius of the large quarter circle
= 30 + 15
= 45 cm
(b)
Circumference of each large quarter
=
14 x 2 x 3.14 x 45
= 70.65 cm
Circumference of each small quarter circle
=
14 x 2 x 3.14 x 30
= 47.1 cm
Perimeter of the shaded figure
= 2 x 70.65 + 3 x 47.1 + 2 x 15 + 30
= 141.3 + 141.3 + 60
= 342.6 cm
Answer(s): (a) 45 cm; (b) 342.6 cm