Q. 474.3( 7 Votes )

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. [Given, π = 3.14]


Answer :

Given:

Length of the rectangular park = 120 m


Breadth of the rectangular park = 90 m


Area of the park excluding the circular lawn = 2950m2


Area of the rectangular park = length × breadth


= 120 × 90


= 10800m2


Area of circular lawn = Area of rectangular park – Area of park excluding the lawn


= 10800 – 2950


= 7850m2


Area of circle = πr2


7850 = 3.14 × r2


r2 = = 2500


r = √2500 = 50 m


Hence, the radius of the circular lawn is 50m.


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