The figure is made up of identical quadrants. The radius is 34 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 34 x 34
= 3629.84 cm
2 Area of
12 shaded leaf
= (3629.84 ÷ 4) - (
12 x 34 x 34)
= 329.46 cm
2 Area of four
12 shaded leaf
= 329.46 x 4
= 1317.84 cm
2 Area of the shaded part
= 3629.84 + 1317.84
= 4947.68 cm
2 (b)
Length of combined curved lines
= 3.14 x 34 x 2 x 2
= 427.04 cm
Length of 12 straight lines
= 34 x 12
= 408 cm
Perimeter of the shaded part
= 427.04 + 408
= 835.04 cm
Answer(s): (a) 4947.68 cm
2; (b) 835.04 cm