The figure shows one big quadrant and two small semicircles. The radius of the big quadrant is 38 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 38
= 119.32 cm
Diameter of the big quadrant
= 38 x 2
= 76 cm
Circumference of the big quadrant
= 3.14 x 76 x
14= 59.66 cm
Perimeter of the shaded figure
= 119.32 + 59.66
= 178.98 cm
(b)
Area of the big quadrant
= 3.14 x 38 x 38 x
14 = 1133.54 cm
2 Area of the triangle
=
12 x 38 x 38
= 722 cm
2 Area of shaded area
= 1133.54 - 722
= 411.54 cm
2 Answer(s): (a) 178.98 cm; (b) 411.54 cm
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