PSLE The figure shows 6 circles, each of radius 31.5 cm. Each circle touches the circles next to it.
(Take π =
227)
- Find the perimeter of the shaded part.
- Find the area of the shaded part.
(a)
Diameter of each circle
= 2 x 31.5
= 63 cm
Perimeter of the shaded part
= Circumference of 3 circles
= 3 x
227 x 63
= 594 cm
(b)
Length of the dotted rectangle
= 4 x 31.5
= 126 cm
Breadth of the dotted rectangle
= 2 x 31.5
= 63 cm
Area of the dotted rectangle
= 126 x 63
= 7938 cm
2 Area of 2 semicircles
= Area of 1 circle
=
227 x 31.5 x 31.5
= 3118.5 cm
2 Area of the shaded part
= 7938 + 3118.5
= 11056.5 cm
2 Answer(s): (a) 594 cm; (b) 11056.5 cm
2