The figure shows one big quadrant and two small semicircles. The radius of the big quadrant is 74 cm.
- 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 74
= 232.36 cm
Diameter of the big quadrant
= 74 x 2
= 148 cm
Circumference of the big quadrant
= 3.14 x 148 x
14= 116.18 cm
Perimeter of the shaded figure
= 232.36 + 116.18
= 348.54 cm
(b)
Area of the big quadrant
= 3.14 x 74 x 74 x
14 = 4298.66 cm
2 Area of the triangle
=
12 x 74 x 74
= 2738 cm
2 Area of shaded area
= 4298.66 - 2738
= 1560.66 cm
2 Answer(s): (a) 348.54 cm; (b) 1560.66 cm
2