2 (a) The diagram shows a circle. NOT TO SCALE (i) The diameter of this circle is 168 mm. Write down the radius of this circle. .......................................... mm [1] (ii) On the diagram, draw a chord of this circle. [1] (b) The scale drawing shows the position of ship A and the position of ship B. The scale is 1 cm represents 6 km. North B North A Scale : 1 cm to 6 km Another ship, C, is 45 km from ship B on a bearing of 124°. (i) On the scale drawing, mark the position of ship C. [2] (ii) Find the actual distance of ship C from ship A. ........................................... km [2] © UCLES 2023 0580/31/O/N/23 5 (c) (i) Show that the interior angle of a regular octagon is 135°. [1] (ii) NOT TO SCALE Show that two regular octagons and a square meet at a point without any gaps. [1] (d) E F NOT TO 49° SCALE D The diagram shows points D, E and F on the circumference of a circle. DF is a diameter of the circle. Find angle EDF. Angle EDF = ................................................. [2] © UCLES 2023 0580/31/O/N/23 [Turn over 6