The figure is made up of identical quadrants. The radius is 22 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 22 x 22
= 1519.76 cm
2 Area of
12 shaded leaf
= (1519.76 ÷ 4) - (
12 x 22 x 22)
= 137.94 cm
2 Area of four
12 shaded leaf
= 137.94 x 4
= 551.76 cm
2 Area of the shaded part
= 1519.76 + 551.76
= 2071.52 cm
2 (b)
Length of combined curved lines
= 3.14 x 22 x 2 x 2
= 276.32 cm
Length of 12 straight lines
= 22 x 12
= 264 cm
Perimeter of the shaded part
= 276.32 + 264
= 540.32 cm
Answer(s): (a) 2071.52 cm
2; (b) 540.32 cm