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Question
A park is in the form of a rectangle 120 m by 90 m. At the centre of the park there is a circular lawn as shown in the figure. The area of the park excluding the lawn is 2950 m2. Find the radius of the circular lawn.
Solution
Area of the rectangle = l × b
= 120 × 90
= 10800 sq. m
Area of the park excluding the lawn = 2950 m2
Area of the circular lawn = Area of the park -- Area of the park excluding the lawn
= 10800 - 2950
= 7850 m2
Area of the circular lawn =πr2
`=> 7850 = 22/7xx"r"^2`
`=> (7850) = 22/7xx"r"^2`
`=> "r"^2 = 2497.72`
⇒ r = 49.97
Or,
r ≈ 50 m
Thus, the radius of the circular lawn is 50 m.
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