9 (a) O NOT TO 60° 10 cm SCALE 17 cm D C A B OAB is a sector of a circle, centre O, radius 17 cm. OCD is a sector of a circle, centre O, radius 10 cm. OCA and ODB are straight lines and angle AOB = 60°. The perimeter of the shaded shape ABDC can be written in the form (ar+b) cm. Find the value of a and the value of b. a = ................................................ b = ................................................ [3] © UCLES 2024 0580/42/M/J/24 17 (b) NOT TO SCALE The diagram shows a regular hexagon. The area of the hexagon is 127.3 cm2. (i) Show that the length of one side of the hexagonis7.0cm, correct to 1 decimal place. [4] (ii) The hexagon is the cross-section of a prism of length 10 cm. 127.3 cm2 NOT TO SCALE 10 cm 7.0 cm (a) Find the volume of the prism. .......................................... cm3 [1] (b) Calculate the surface area of the prism. .......................................... cm2 [2] © UCLES 2024 0580/42/M/J/24 [Turn over 18