# 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.

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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