The figure shows one big quadrant and two small semicircles. The radius of the big quadrant is 62 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 62
= 194.68 m
Diameter of the big quadrant
= 62 x 2
= 124 m
Circumference of the big quadrant
= 3.14 x 124 x
14= 97.34 m
Perimeter of the shaded figure
= 194.68 + 97.34
= 292.02 m
(b)
Area of the big quadrant
= 3.14 x 62 x 62 x
14 = 3017.54 m
2 Area of the triangle
=
12 x 62 x 62
= 1922 m
2 Area of shaded area
= 3017.54 - 1922
= 1095.54 m
2 Answer(s): (a) 292.02 m; (b) 1095.54 m
2