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solve it ..eska answer he rs. 31,762.50
Answers
Solution
Given:-
- Radius of circular park = 56 m
- 3.5 m wide road arround the circular park
- cost of construction of per square meter = ₹ 25
Find :-
- Total cost of construction
Explanation
Using Formula
Where,
- r = radii of circular park
- π = 22/7
Keep above Values,
==> Area of circular park = 22/7 × (56)²
==> Area of circular park = 22/7 × 56 × 56
==> Area of circular park = 22 × 56 × 8
==> Area of circular park = 176 × 56
==> Area of circular park = 9,856 m2
Here, road construct around the circular park whose radii is 3.5 m
Then,
Radius of whole circle ,
==> Radius of whole circle= 56 + 3.5
==> Radius of whole circle= 59.5 m
Now, Calculate Area of whole circle
==> Area of whole circle = 22/7 × (59.5)²
==> Area of whole circle = 22/7 × 59.5 × 59.5
==> Area of whole circle = 22 × 59.5 × 8.5
==> Area of whole circle = 11,126.5 m²
Now, Calculate Area of circular road.
==> Area of circular road = Area of whole circle - Area of circular park
==> Area of circular road = 11,126.5 - 9,856
==> Area of circular road = 1270.5 m²
________________________
Now, Calculate cost of total construction
∵cost of construction of 1 m² road = ₹25
•°• Total cost of construction of 1270.5 m² = 25 × 1270.5
•°• Total cost of construction of 1270.5 m² = ₹ 31,762.5
Hence
- Total cost of construction of circular road = ₹ 31,762.5