The figure is made up of identical quadrants. The radius is 44 cm long. Take π as 3.14.
- Find the area of the shaded part.
- Find the perimeter of the shaded part.
(a)
Area of one circle
= 3.14 x 44 x 44
= 6079.04 cm
2 Area of
12 shaded leaf
= (6079.04 ÷ 4) - (
12 x 44 x 44)
= 551.76 cm
2 Area of four
12 shaded leaf
= 551.76 x 4
= 2207.04 cm
2 Area of the shaded part
= 6079.04 + 2207.04
= 8286.08 cm
2 (b)
Length of combined curved lines
= 3.14 x 44 x 2 x 2
= 552.64 cm
Length of 12 straight lines
= 44 x 12
= 528 cm
Perimeter of the shaded part
= 552.64 + 528
= 1080.64 cm
Answer(s): (a) 8286.08 cm
2; (b) 1080.64 cm