Q. 113.9( 19 Votes )

The time which took today my friend Rajat running with uniform speed to round once of a circular field of school is 30 seconds less while he ran diametrically with same speed. Let us write by calculating the area of field of school if his speed is 9 meter/sec.

Answer :

Given, speed of Rajat = 9 m /sec



Where distance is the perimeter of circular field


But perimeter = 2π r where r is the radius of circle


Time taken =


According to the given condition


Where r is radius of circular field and 2r = diameter



2π r 270 = 2r (taking LCM and cancelling 9 from both side)


2π r – 2r = 270


r (π -1) = 135




Area of the circular field = πr2 where r is the radius


= m2


= 12474 m2


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