The figure shows one big quadrant and two small semicircles. The radius of the big quadrant is 50 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 50
= 157 m
Diameter of the big quadrant
= 50 x 2
= 100 m
Circumference of the big quadrant
= 3.14 x 100 x
14= 78.5 m
Perimeter of the shaded figure
= 157 + 78.5
= 235.5 m
(b)
Area of the big quadrant
= 3.14 x 50 x 50 x
14 = 1962.5 m
2 Area of the triangle
=
12 x 50 x 50
= 1250 m
2 Area of shaded area
= 1962.5 - 1250
= 712.5 m
2 Answer(s): (a) 235.5 m; (b) 712.5 m
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