The length and breadth of a rectangular field are 40 m and 30 m respectively. A circular park of 14 meters radius has been built under it. What will be the area of the remaining part?
Answers
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Step-by-step explanation:
Given :-
The length and breadth of a rectangular field are 40 m and 30 m respectively. A circular park of 14 meters radius has been built under it.
To find :-
What will be the area of the remaining part?
Solution :-
Given that
Length of the rectangular field (l) = 40 m
Breadth of the rectangular field (b) = 30 m
We know that
Area of a rectangle = lb sq.units
Where, l and b are the length and breadth of the rectangle respectively.
Area of the rectangular field = 40×30 sq.m
=> Area of the rectangular field = 1200 sq.m
Radius of the circular park (r) = 14 m
We know that
Area of a circle whose radius is r units is
πr² sq.units
Area of the circular park = π(14)² sq.m
=> (22/7)×(14×14)
=> (22×14×14)/7
=> 22×14×2
=> 616 sq.m
Area of the circular park = 616 sq.m
Now,
Area of the remaining part of the field
= Area of the rectangular field - Area of the circular park
=> 1200 sq.m - 616 sq.m
=> 584 sq.m
Answer:-
The area of the remaining part of the rectangular field is 584 sq.m
Used formulae:-
→ Area of a rectangle = lb sq.units
- l = length
- b = breadth
→ Area of a circle whose radius is r units is πr² sq.units
- π = 22/7
