The figure is made up of identical quadrants. The radius is 17 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 17 x 17
= 907.46 cm
2 Area of
12 shaded leaf
= (907.46 ÷ 4) - (
12 x 17 x 17)
= 82.365 cm
2 Area of four
12 shaded leaf
= 82.365 x 4
= 329.46 cm
2 Area of the shaded part
= 907.46 + 329.46
= 1236.92 cm
2 (b)
Length of combined curved lines
= 3.14 x 17 x 2 x 2
= 213.52 cm
Length of 12 straight lines
= 17 x 12
= 204 cm
Perimeter of the shaded part
= 213.52 + 204
= 417.52 cm
Answer(s): (a) 1236.92 cm
2; (b) 417.52 cm