Answer:
The diameter of a circle made by the 50 people can be calculated using the average fingertip-to-fingertip distance. First, let's understand the concept of diameter. The diameter of a circle is a straight line passing through the center of the circle and touching two points on the circle's circumference. In this case, the circle is formed by the 50 people with their fingertips just touching. So, we can imagine a circle passing through the fingertips of the people. The average fingertip-to-fingertip distance is given as 1.6 m. This means that if we measure the distance between any two neighboring fingertips and take the average of all those distances, it will be 1.6 m. Now, we need to find the diameter of this circle. To do that, we can imagine drawing a straight line passing through the center of the circle and touching two opposite points on the circle's circumference. This line will be the diameter. Since the 50 people form a circle, we can divide the circle into 50 equal sectors, with each person occupying one sector. The distance between the fingertips of two neighboring people is the circumference of each sector. To find the circumference, we can use the formula for the circumference of a circle: Circumference = 2 * π * radius In our case, the radius is half the fingertip-to-fingertip distance because the radius is the distance from the center of the circle to the circumference. So, the radius is 1.6 m / 2 = 0.8 m. Substituting the values into the formula, we get: Circumference = 2 * π * 0.8 m Now, the diameter is the same as the circumference, so the diameter of the circle made by the 50 people is: Diameter = 2 * π * 0.8 m Calculating this expression will give us the diameter in meters.
Explanation: