A programme inspiring people of all ages and genders usually ends with a fashion show - NSC Mathematical Literacy - Question 4 - 2023 - Paper 2

Given the length of the floor runway is 54 feet, we will convert it to metres using the conversion factor:

$1 ext{ m} = 3.28084 ext{ feet}$

Thus:

$\text{Length in metres} = \frac{54}{3.28084} \approx 16.46 ext{ m}$

The second and third-row seats are not arranged directly behind the first-row seats to eliminate possible obstructions caused by front row spectators. This design also allows for better visibility for all attendees watching the fashion show.

The gap between the two runways is intentional. It allows passage for people to move freely without obstruction, minimizing the chances of collisions, and enhancing safety and accessibility for all participants and guests.

The diameter of the round table is given as 1,828 m, hence the radius will be:

$\text{Radius} = \frac{1,828}{2} = 914 \text{ m}$

Using the area formula:

$\text{Area} = 3,142 \times (914)^2 \approx 2,627,112.72 \text{ m}^2$

First, we calculate the circumference of the round table:

$\text{Circumference} = 3,142 \times 1,828 \text{ m} \approx 5,746.09 \text{ m}$

Then, divide this by the number of people that can be seated at the table:

$\text{Length allocated per person} = \frac{5,746.09}{10} \approx 574.609 \text{ m}$