solve it please 15,16,17,18,19,20
Answers
Answer:
Step-by-step explanation:
15.
radius of the park = 84/2 = 42m
area of the park = (22/7)×42×42 = 5544m^2
width of road = 3.5m
.•.total radius = 3.5+42 = 45.5m
total area = (22/7)×45.5×45.5 = 6506.5m^2
area cover by the road=6506.5-5544= 1062.5m^2
total cost of constructing the road=1062.5×240=Rs255000
16.
Let R be the radius of the Outer circular path ..
and the Circumference of outer circular path is given 44m ..
2∏R = 44
∏R = 22
R = 7 m ..
Now width = 2m .
Inner radius (r) = 7 - 2 r = 5 m ..
Inner circumference
2πr
2 × 22/7 × 5
220/7
31.42 m
Area of path ..
Outer area of circular path - inner Area ..
∏R² - ∏r²
∏(7)² - ∏(5)²
75.43 m^2
17.
Area = \pi (R²-r²)
770 = 22/7 × [(21)² - r²]
770×7÷22 = 441-r²
441 - 245 = r²
r² = 196
r = √196
r = 14cm
18.
r=14 cm
total area= πr²
=22/7*196=616 cm²
r2= 3.5 cm
area of the small circles= 2*πr²=2*12.25*22/7=77 cm²
length of rectangle=3
breadth=1
area =lb=3 cm²
area of the small circles+area of rectangle=77+3=80 cm²
remaining area=616-80=536 cm²
19.
(i)area of the shaded region= area of rectangle- area of semicircle
l*b - 1/2*pi r^2
7*10 - 1/2*22/7* 7/2*7/2
70 - 19.25
= 50.75cm^2
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