The figure shows one big quadrant and two small semicircles. The radius of the big quadrant is 44 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 44
= 138.16 m
Diameter of the big quadrant
= 44 x 2
= 88 m
Circumference of the big quadrant
= 3.14 x 88 x
14= 69.08 m
Perimeter of the shaded figure
= 138.16 + 69.08
= 207.24 m
(b)
Area of the big quadrant
= 3.14 x 44 x 44 x
14 = 1519.76 m
2 Area of the triangle
=
12 x 44 x 44
= 968 m
2 Area of shaded area
= 1519.76 - 968
= 551.76 m
2 Answer(s): (a) 207.24 m; (b) 551.76 m
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