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
The radius of circular lawn is 32.4 m.
Step-by-step explanation:
Given :
Area of park excluding lawn , A = 8700 m²
Length of rectangular park = 120 m
Breadth of rectangular park = 100m
Area of rectangular park , A1 = l x b
A = 120 x 100
A = 12000 m²
Let 'r' be the radius of circular lawn.
Area of circular lawn A2 = πr²
Area of remaining park excluding lawn = (area of rectangular park) – (area of circular lawn)
A = A1 - A2
8700 = 12000 – πr²
πr² = 12000 – 8700
πr² = 3300
22/7 x r² = 3300
r² = 150 x 7
r² = 1050
r = √1050
r = √25 × 42
r = 5√42 m
r = 5 × 6.48
r = 32.4 m
Radius of circular lawn = 32.4 m
Hence, the radius of circular lawn is 32.4 m.
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