To calculate the speed of a cyclist, we need to know the distance he covered and the time he took to cover it. In this problem, we are told that the cyclist went once around a circular track of diameter 105 m in 5 minutes.



To calculate the distance covered by the cyclist, we need to know the circumference of the circular track. The formula for the circumference of a circle is:

C = πd

where C is the circumference, π is a mathematical constant that represents the ratio of the circumference of a circle to its diameter (approximately equal to 3.14), and d is the diameter of the circle.

In this problem, the diameter of the circular track is 105 m. So, the circumference of the circular track is:

C = πd
C = 3.14 x 105
C = 329.7 m

Therefore, the distance covered by the cyclist is 329.7 m (once around the circular track).



To calculate the time taken by the cyclist, we are given that he took 5 minutes to cover the distance.



To calculate the speed of the cyclist, we use the formula:

speed = distance/time

In this problem, the distance covered by the cyclist is 329.7 m and the time taken by him is 5 minutes. So, the speed of the cyclist is:

speed = distance/time
speed = 329.7/5
speed = 65.94 m/min

Therefore, the speed of the cyclist is 65.94 m/min.



The speed of the cyclist is 65.94 m/min, which means he covers a distance of 65.94 meters in one minute. This is a relatively slow speed for a cyclist, but it is important to note that the cyclist is going around a circular track, which requires more effort than cycling on a straight road. Also, the speed of a cyclist depends on various factors such as the terrain, the wind, the type of bike, and the physical fitness of the cyclist.

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