The figure shows one big quadrant and two small semicircles. The radius of the big quadrant is 68 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 68
= 213.52 m
Diameter of the big quadrant
= 68 x 2
= 136 m
Circumference of the big quadrant
= 3.14 x 136 x
14= 106.76 m
Perimeter of the shaded figure
= 213.52 + 106.76
= 320.28 m
(b)
Area of the big quadrant
= 3.14 x 68 x 68 x
14 = 3629.84 m
2 Area of the triangle
=
12 x 68 x 68
= 2312 m
2 Area of shaded area
= 3629.84 - 2312
= 1317.84 m
2 Answer(s): (a) 320.28 m; (b) 1317.84 m
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