The figure is made up of identical quadrants. The radius is 26 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 26 x 26
= 2122.64 cm
2 Area of
12 shaded leaf
= (2122.64 ÷ 4) - (
12 x 26 x 26)
= 192.66 cm
2 Area of four
12 shaded leaf
= 192.66 x 4
= 770.64 cm
2 Area of the shaded part
= 2122.64 + 770.64
= 2893.28 cm
2 (b)
Length of combined curved lines
= 3.14 x 26 x 2 x 2
= 326.56 cm
Length of 12 straight lines
= 26 x 12
= 312 cm
Perimeter of the shaded part
= 326.56 + 312
= 638.56 cm
Answer(s): (a) 2893.28 cm
2; (b) 638.56 cm