The figure shows one big quadrant and two small semicircles. The radius of the big quadrant is 72 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 72
= 226.08 m
Diameter of the big quadrant
= 72 x 2
= 144 m
Circumference of the big quadrant
= 3.14 x 144 x
14= 113.04 m
Perimeter of the shaded figure
= 226.08 + 113.04
= 339.12 m
(b)
Area of the big quadrant
= 3.14 x 72 x 72 x
14 = 4069.44 m
2 Area of the triangle
=
12 x 72 x 72
= 2592 m
2 Area of shaded area
= 4069.44 - 2592
= 1477.44 m
2 Answer(s): (a) 339.12 m; (b) 1477.44 m
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