The figure is made up of identical quadrants. The radius is 32 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 32 x 32
= 3215.36 cm
2 Area of
12 shaded leaf
= (3215.36 ÷ 4) - (
12 x 32 x 32)
= 291.84 cm
2 Area of four
12 shaded leaf
= 291.84 x 4
= 1167.36 cm
2 Area of the shaded part
= 3215.36 + 1167.36
= 4382.72 cm
2 (b)
Length of combined curved lines
= 3.14 x 32 x 2 x 2
= 401.92 cm
Length of 12 straight lines
= 32 x 12
= 384 cm
Perimeter of the shaded part
= 401.92 + 384
= 785.92 cm
Answer(s): (a) 4382.72 cm
2; (b) 785.92 cm