The figure shows one big quadrant and two small semicircles. The radius of the big quadrant is 76 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 76
= 238.64 m
Diameter of the big quadrant
= 76 x 2
= 152 m
Circumference of the big quadrant
= 3.14 x 152 x
14= 119.32 m
Perimeter of the shaded figure
= 238.64 + 119.32
= 357.96 m
(b)
Area of the big quadrant
= 3.14 x 76 x 76 x
14 = 4534.16 m
2 Area of the triangle
=
12 x 76 x 76
= 2888 m
2 Area of shaded area
= 4534.16 - 2888
= 1646.16 m
2 Answer(s): (a) 357.96 m; (b) 1646.16 m
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