1.

A man riding a bicycle completes one lap of a circular field along its circumference at the speed of 14.4 km/h in 1 minute 28 seconds. What is the area of the field?1. 9556 m22. 9876 m23. 8956 m24. 9856 m2

Answer» Correct Answer - Option 4 : 9856 m2

Given

Speed of bicycle is  14.4 km/h

Formula used

Area of circle = πr2

Circumference of circle = 2πr

Calculation

Speed of the rider = 14.4 km/h

⇒ 14.4 × 5/18 = 4 m/sec

Total time taken by him to complete 1 round is (60 + 28)sec

⇒ 88 sec

Total distance = circumference = speed × time

⇒ 4 × 88

⇒ 352 m

⇒ 2πr = 352

⇒ r = 56 m

Area of circle =  πr2

⇒ 22/7(56 × 56)

⇒ 9856 m2

 

 

 


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