#area&perimeterofcompositefigures
Area of square
14 `xx` 14 = 196 cm2
Radius of circle
14 `-:` 2 = 7 cm
Area of circle
`22/7` `xx` 7 `xx` 7 = 154 cm2
Area of unshaded part
196 - 154 = 42 cm2
#area&perimeterofcompositefigures
Length of rectangle
8 - 1 = 7 cm
perimeter of rectangle
5 + 7 + 5 + 7 = 24cm
#area&perimeterofcompositefigures
Perimeter of the swimming pool
25 + 25 + ( `Pi` `xx` D )
50 + (3.14 `xx` 10)
50 + 31.4 = 81.4 m
Total distance travel
81.4 `xx` 15 = 1221 m
1221 m = 1.221 km
#area&perimeterofcompositefigures
(part a):
The 8 semi-circles made uo 4 full circles
Diameter of 1 semi-circle
(31 - 17)`-:` 2 = 14 `-:` 2 = 7 cm
Circumference of 1 semi-circle
`22/7` `xx` 7 = 22 cm
Circumference of 4 semi - circles
22 `xx` 4 = 88 cm
Perimeter of circles
88 + (17`xx` 4) = 156 cm
(part b):
Area of half square
31 `xx` 31 `xx` `1/2` = 480.5 cm2
Radius of semi- circle
7 `-:` 2 = 3.5 cm
Area of 2 circles
2 `xx` `22/7` `xx` 3.5 `xx` 3.5 = 77 cm2
Area of shaded area
480.5 + 77 = 557.5 cm2
#area&perimeterofcompositefigures
Total perimeter of the figure is `3/4` of the circumference of the circle plus two sides of the square AOBC
Radius = 7 cm
Diameter = 7 `xx` 2 = 14 cm
Circumference
`3/4` `xx` `22/7` `xx` 14 = 33 cm
Total perimeter
33 + 7 + 7 = 47 cm
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