Question

The area of acircular field is 154sqm. Find thetime taken by an athlate to complete 2 rounds if she is jogging at the rate of 5km/hr

Answer 1

Solution :-

Given :
The area of a circular field = 154 m²

Find the radius of the circular field :-

Area of circle = πr²
=> 154 = 22/7 × r²
=> (154 × 7)/22 = r²
=> 49 = r²
=> √49 = r = 7


Find the circumference of circular field :-

Circumference of circle = 2πr unit
= 2 × 22/7 × 7 m
= 44 m


Convert the speed into m/sec :

5 km/hr = (5 × 1000)/(3600) m/sec
= 25/18 m/sec


Find the time taken by an athlate to complete 2 rounds :-

Time = Distance / Speed
= (2 × 44)/(25 / 18)
= (88 × 18)/25
= 63.36 sec


Hence,
The time taken by an athlate to complete 2 rounds = 63.36 sec or 1 minute and 3.36 sec