The figure is made up of identical quadrants. The radius is 46 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 46 x 46
= 6644.24 cm
2 Area of
12 shaded leaf
= (6644.24 ÷ 4) - (
12 x 46 x 46)
= 603.06 cm
2 Area of four
12 shaded leaf
= 603.06 x 4
= 2412.24 cm
2 Area of the shaded part
= 6644.24 + 2412.24
= 9056.48 cm
2 (b)
Length of combined curved lines
= 3.14 x 46 x 2 x 2
= 577.76 cm
Length of 12 straight lines
= 46 x 12
= 552 cm
Perimeter of the shaded part
= 577.76 + 552
= 1129.76 cm
Answer(s): (a) 9056.48 cm
2; (b) 1129.76 cm
