The figure shows one big quadrant and two small semicircles. The radius of the big quadrant is 34 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 34
= 106.76 cm
Diameter of the big quadrant
= 34 x 2
= 68 cm
Circumference of the big quadrant
= 3.14 x 68 x
14= 53.38 cm
Perimeter of the shaded figure
= 106.76 + 53.38
= 160.14 cm
(b)
Area of the big quadrant
= 3.14 x 34 x 34 x
14 = 907.46 cm
2 Area of the triangle
=
12 x 34 x 34
= 578 cm
2 Area of shaded area
= 907.46 - 578
= 329.46 cm
2 Answer(s): (a) 160.14 cm; (b) 329.46 cm
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