The figure is made up of identical quadrants. The radius is 48 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 48 x 48
= 7234.56 cm
2 Area of
12 shaded leaf
= (7234.56 ÷ 4) - (
12 x 48 x 48)
= 656.64 cm
2 Area of four
12 shaded leaf
= 656.64 x 4
= 2626.56 cm
2 Area of the shaded part
= 7234.56 + 2626.56
= 9861.12 cm
2 (b)
Length of combined curved lines
= 3.14 x 48 x 2 x 2
= 602.88 cm
Length of 12 straight lines
= 48 x 12
= 576 cm
Perimeter of the shaded part
= 602.88 + 576
= 1178.88 cm
Answer(s): (a) 9861.12 cm
2; (b) 1178.88 cm