What is the connection between this question and the one about the 400 m athletics track?
The connection between finding the perimeter of a circle and the 400 m athletics track lies in calculating the distance of the track's curved sections. A standard athletics track consists of two straight sections and two curved sections, which are semicircles.
These two semicircles together form a complete circle. To find the total distance an athlete runs on the curved parts, we must calculate the circumference (perimeter) of this circle using the formula for the perimeter of a circle.
Additionally, to determine the stagger for the different lanes in a relay race, we need to know how to find the length around a circle. Thus, understanding the perimeter of a circle is essential for calculating both the total track distance and the lane staggers.
Explanation
The textbook context explicitly links the concept of the perimeter of a circle to the athletics track in two ways. First, the track's curved portions are two semicircles that combine to form a full circle; calculating the distance covered on them requires finding the circle's perimeter (circumference). Second, calculating the 'stagger' for relay races depends on knowing the length around a circle for different radii.