4400 Higher November 2009 Paper 3 Q3
3
(a) The diagram shows a regular octagon, with centre \(O\).
Diagram NOT accurately drawn
Work out the value of \(x\). (3)(b) A regular polygon has an exterior angle of 30°.
Work out the number of sides of the polygon. (2)
Work out the number of sides of the polygon. (2)
| Scheme | Marks |
|---|---|
| 360 ÷ 8 (= 45) or 180 × 6/8 (= 135) | M1 |
| (180 − “45”) / 2 or “135” ÷ 2 | M1 dep |
| 67.5 | A1 |
| (3) |
| Scheme | Marks |
|---|---|
| 360 ÷ 30 or \(180 - 30 = 180(n - 2)/n\) | M1 |
| 12 | A1 |
| (2) | |
| (5 marks) |