PSLE The figure shows 6 circles, each of radius 35 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 35
= 70 cm
Perimeter of the shaded part
= Circumference of 3 circles
= 3 x
227 x 70
= 660 cm
(b)
Length of the dotted rectangle
= 6 x 35
= 210 cm
Breath of the dotted rectangle
= 2 x 35
= 70 cm
Area of the dotted rectangle
= 210 x 70
= 14700 cm
2 Area of 2 semicircles
= Area of 1 circle
=
227 x 35 x 35
= 3850 cm
2 Area of the shaded part
= 14700 + 3850
= 18550 cm
2 Answer(s): (a) 660 cm; (b) 18550 cm
2