PSLE The figure shows 4 circles, each of radius 42 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 42
= 84 cm
Perimeter of the shaded part
= Circumference of 2 circles
= 2 x
227 x 84
= 528 cm
(b)
Length of the dotted square
= Diameter of each circle
= 84 cm
Area of the dotted square
= 84 x 84
= 7056 cm
2 Area of 1 circle
=
227 x 42 x 42
= 5544 cm
2 Area of the shaded part
= 7056 + 5544
= 12600 cm
2 Answer(s): (a) 528 cm; (b) 12600 cm
2