Final answer:
To calculate the number of people that can fit on the field, find the area of the field in square feet, calculate the area of the circle with diameter of 10 feet, and then divide the area of the field by the area of the circle.
Step-by-step explanation:
To find the number of people that can fit on the football field, we need to calculate the area of the field first. The length of the field is 120 yards and the width is 53.33 yards. The formula to calculate the area of a rectangle is length times width. So, the area of the field is 120 yards multiplied by 53.33 yards.
Next, we need to convert the area from square yards to square feet. We know that 1 yard is equal to 3 feet, so 1 square yard is equal to 9 square feet. To convert the area from square yards to square feet, we need to multiply the area in square yards by 9. Now, we can calculate the number of people that can fit on the field.
Given that the diameter of a circle is 10 feet, we can find the radius by dividing the diameter by 2. So, the radius is 10 feet divided by 2, which is 5 feet. The formula to calculate the area of a circle is π times the radius squared. Since the problem doesn't provide the value of π, we will use an approximate value of 3.14.
Now, we can calculate the area of the circle using the formula. The area is π times 5 feet squared. Finally, we can divide the total area of the field by the area of the circle to find the number of people that can fit on the field.