PSLE The figure shows 4 circles, each of radius 38.5 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 38.5
= 77 cm
Perimeter of the shaded part
= Circumference of 2 circles
= 2 x
227 x 77
= 484 cm
(b)
Length of the dotted square
= Diameter of each circle
= 77 cm
Area of the dotted square
= 77 x 77
= 5929 cm
2 Area of 1 circle
=
227 x 38.5 x 38.5
= 4658.5 cm
2 Area of the shaded part
= 5929 + 4658.5
= 10587.5 cm
2 Answer(s): (a) 484 cm; (b) 10587.5 cm
2