What is the connection between the question about finding what the perimeter Class 9

What is the connection between the question about finding what the perimeter Class 9

Question 1.

What is the connection between the question about finding what the perimeter of a circle with radius r and the one about the 400 m athletics track? Class 9

Answer:

Recall that in an athletics track, the two curved portions together form a complete circle. All runners cover the same distance along the straight parts, so the difference in distances between lanes arises only from the curved portions.

In the outer lane, the runner moves along a larger circle, while in the inner lane, the runner moves along a smaller circle.

Hence, the lengths of their curved paths are different.

To ensure that all runners cover the same total distance, their starting positions are adjusted. This adjustment is called the stagger, which is the distance between the starting points of adjacent lanes.

The value of this stagger depends on the difference in the lengths of these curved paths. Therefore, to understand and calculate the stagger, we need to know how to find the length around a circle (perimeter or circumference).