The figure shows one big quadrant and two small semicircles. The radius of the big quadrant is 36 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 36
= 113.04 m
Diameter of the big quadrant
= 36 x 2
= 72 m
Circumference of the big quadrant
= 3.14 x 72 x
14= 56.52 m
Perimeter of the shaded figure
= 113.04 + 56.52
= 169.56 m
(b)
Area of the big quadrant
= 3.14 x 36 x 36 x
14 = 1017.36 m
2 Area of the triangle
=
12 x 36 x 36
= 648 m
2 Area of shaded area
= 1017.36 - 648
= 369.36 m
2 Answer(s): (a) 169.56 m; (b) 369.36 m
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