Computer Science · May / June 2022 · Paper 1 HL · Question 14

14. The flowchart on page 6 represents an algorithm that allows a user to enter the number of sides, length of side and apothem (see diagram below) for a regular polygon. It then calculates and outputs the area and perimeter of this shape. Worked example: a regular hexagon Number of sides = 6 Length of side = 10 cm Apothem = 8.66 cm Perimeter = Number of sides × Length of side = 6 × 10 = 60 cm Area = × 2 Perimeter Apothem = × 60 8.66 2 = 259.8 cm2 A regular hexagon Apothem 10 cm 8.66 cm (This question continues on the following page) (Question 14 continued) START END PERIM = NUM_SIDES * LENGTH_SIDE output "Enter the number of sides for your shape" input NUM_SIDES output "Enter the length of each side for your shape" input LENGTH_SIDE output "Enter the length of the apothem for your shape" input APOTHEM AREA = PERIM * APOTHEM / 2 output "The area of your shape is ", AREA output "The perimeter of your shape is ", PERIM (This question continues on the following page) (Question 14 continued)

Read automatically from the paper; the printed page above is exact.