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 convert this to metres using the conversion factor:

ext{Length in metres} = rac{54 ext{ ft}}{3.28084} ext{ m}

This yields approximately 16.45 m.

(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. This design allows a clear view of the models on the floor runway.

(b) There is a gap between the two runways to facilitate movement and avoid potential collisions between audience members and participants.

(a) To calculate the area of one round table, we first find the radius:

ext{Radius} = rac{1,828 ext{ m}}{2} = 0.914 ext{ m}

Using the area formula:

$$ext{Area} = 3,142 imes (0.914)^2 \\ ext{Area} arr 2.63 ext{ m}^2$$

(b) The circumference is calculated using the formula:

$$ext{Circumference} = 3,142 imes 1,828 ext{ m} = 5,746.09 ext{ m}$$

Dividing by the number of persons:

ext{Length allocated per person} = rac{5,746.09}{10} = 574.609 ext{ m}