The figure shows one big quadrant and two small semicircles. The radius of the big quadrant is 60 m.
- Find the perimeter of the shaded figure. (Take π = 3.14)
- Find the shaded area of this figure. (Take π = 3.14)
(a)
Circumference of the small circle
= 3.14 x 60
= 188.4 m
Diameter of the big quadrant
= 60 x 2
= 120 m
Circumference of the big quadrant
= 3.14 x 120 x
14= 94.2 m
Perimeter of the shaded figure
= 188.4 + 94.2
= 282.6 m
(b)
Area of the big quadrant
= 3.14 x 60 x 60 x
14 = 2826 m
2 Area of the triangle
=
12 x 60 x 60
= 1800 m
2 Area of shaded area
= 2826 - 1800
= 1026 m
2 Answer(s): (a) 282.6 m; (b) 1026 m
2