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

To convert the length of the floor runway to metres, we perform the following calculation:

ext{Length} = rac{54}{3.28084} ext{ m} \\ ext{Length} = 16.459199... ext{ m}

Therefore, the length of the floor runway in metres is approximately 16.46 m.

4.1.3 (a) The second- and third-row seats are not arranged exactly behind the first-row seats that are closest to the floor runway to eliminate the obstruction that could be caused by front row spectators.

4.1.3 (b) The gap between the two runways allows for a passage where people can pass through, reducing potential collisions and facilitating movement.

To calculate the area of the round table, we first need the radius, which is:

ext{Radius} = rac{1,828}{2} = 0.9144 ext{ m}

Then, we can apply the area formula for a circle:

$$ext{Area} = 3.142 imes (0.9144)^2 \\ ext{Area} = 3.142 imes 0.836... ext{ m}^2 = 2.627112... ext{ m}^2$$

Thus, the area of the top of ONE round table is approximately 2.63 m².

To find the maximum length allocated to each person, we first calculate the circumference of the round table:

$$ext{Circumference} = 3.142 imes 1,828 = 5.7460896 ext{ m}$$

Given that each round table can seat a maximum of 10 adults, the maximum length allocated to each person is:

ext{Length per person} = rac{5.7460896}{10} = 0.57460896 ext{ m}

Thus, the maximum length allocated to each person seated around the round table is approximately 0.575 m.