To find the cyclist's speed, we need to determine the distance he covers in 5 minutes.
The distance covered in one round of a circular track is equal to the circumference of the circle. The formula for the circumference of a circle is:
C = πd
where C is the circumference and d is the diameter.
Given that the diameter of the circular track is 105 meters, we can calculate the circumference:
C = π * 105 = 330π meters
Since the cyclist completes one round in 5 minutes, his speed can be calculated by dividing the distance covered by the time taken:
Speed = Distance / Time
In this case, the distance covered is the circumference of the circle (330π meters), and the time taken is 5 minutes.
Speed = (330π meters) / (5 minutes)
To get the speed in meters per minute, we divide the numerator and denominator by 5:
Speed = (330π / 5) meters/minute
To approximate the value of π, we can use 3.14:
Speed = (330 * 3.14 / 5) meters/minute
Simplifying this expression:
Speed ≈ 207.9 meters/minute
Therefore, the cyclist's speed is approximately 207.9 meters per minute.