The figure is made up of identical quadrants. The radius is 33 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 33 x 33
= 3419.46 cm
2 Area of
12 shaded leaf
= (3419.46 ÷ 4) - (
12 x 33 x 33)
= 310.365 cm
2 Area of four
12 shaded leaf
= 310.365 x 4
= 1241.46 cm
2 Area of the shaded part
= 3419.46 + 1241.46
= 4660.92 cm
2 (b)
Length of combined curved lines
= 3.14 x 33 x 2 x 2
= 414.48 cm
Length of 12 straight lines
= 33 x 12
= 396 cm
Perimeter of the shaded part
= 414.48 + 396
= 810.48 cm
Answer(s): (a) 4660.92 cm
2; (b) 810.48 cm