The figure is made up of identical quadrants. The radius is 29 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 29 x 29
= 2640.74 cm
2 Area of
12 shaded leaf
= (2640.74 ÷ 4) - (
12 x 29 x 29)
= 239.685 cm
2 Area of four
12 shaded leaf
= 239.685 x 4
= 958.74 cm
2 Area of the shaded part
= 2640.74 + 958.74
= 3599.48 cm
2 (b)
Length of combined curved lines
= 3.14 x 29 x 2 x 2
= 364.24 cm
Length of 12 straight lines
= 29 x 12
= 348 cm
Perimeter of the shaded part
= 364.24 + 348
= 712.24 cm
Answer(s): (a) 3599.48 cm
2; (b) 712.24 cm