A lawn is 80cm long and 60 m wide There is a circular swimming pool of radius 7cm in this. Find area of remaining lawn
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Answer:
Step-by-step explanation:
Area of lawn - area of pool
80×60-2π49=area remaining
4800-308=4492.
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4
A rough figure of the given situation is attached along with this answer. The green lines represent the boundary of the lawn which is 80 m long and 60 m wide. The circle is in blue to represent the swimming pool which has a diameter of 7 m.
The radius of the circle will be 7/2 m Or 3.5 m.
So, let's start with the problem with this.
The length of the rectangular lawn, l = 80 m.
and the breadth of the rectangular lawn, b = 60 m.
We are asked to calculate the area of the remaining lawn, i.e.
ar(remaining lawn) = ar(rectangle) - ar(circle)
= (l × b) - (πr²)
= (60 × 80) - (22/7 × 7/2 × 7/2)
= (4800) - (77/2)
= 4800 - 38.5
= 4761.5 m²
Thus, we get the area of the remaining lawn as 4761.5 m².
The radius of the circle will be 7/2 m Or 3.5 m.
So, let's start with the problem with this.
The length of the rectangular lawn, l = 80 m.
and the breadth of the rectangular lawn, b = 60 m.
We are asked to calculate the area of the remaining lawn, i.e.
ar(remaining lawn) = ar(rectangle) - ar(circle)
= (l × b) - (πr²)
= (60 × 80) - (22/7 × 7/2 × 7/2)
= (4800) - (77/2)
= 4800 - 38.5
= 4761.5 m²
Thus, we get the area of the remaining lawn as 4761.5 m².
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