8. A park is in the form of a rectangle 120 m long and 100 m wide. At the centre, there is a circular
lawn of radius root 1050 m. Find the area of the park excluding the lawn. Take pie=22/7
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Answers
Given data :
- A park is in the form of a rectangle 120 m long and 100 m wide.
- At the centre, there is a circular lawn of radius root 1050 m.
To find : Find the area of the park excluding the lawn ?
Solution :
According to given,
→ Length of rectangular park = 120 m
→ Breadth of rectangular park = 100 m
→ Radius of circular park, r = √1050 m
Now,
→ Area of rectangular park
= Length * Breadth
→ Area of rectangular park
= 120 * 100
→ Area of rectangular park
= 12000 m²
Let, area of rectangular park be x,
so, x = 12000 m²
Now,
→ Area of circular lawn = π * r²
→ Area of circular lawn = 22/7 * ( √1050 )²
→ Area of circular lawn = 22/7 * 1050
→ Area of circular lawn = 22 * 150
→ Area of circular lawn = 3300 m²
Let, area of circular lawn be y,
so, y = 3300 m²
Now, to find area of the area of the park excluding the lawn.
→ Area of circular park = x - y
→ Area of circular park = {12000 - 3300} m²
→ Area of circular park = 8700 m²
Answer : Hence, the area of the area of the park excluding the lawn is 8700 m².
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Answer:
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